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200212121020122 = 233101113423176781
BaseRepresentation
bin101101100001011110000100…
…010110100110011011011010
3222020220002110221202100211000
4231201132010112212123122
5202220233410440120442
61545452102331045430
760112564000245561
oct5541360426463332
9866802427670730
10200212121020122
1158880535884352
121a55654a2a0876
138793bca835bc3
143762465826bd8
151822e9b6dbd4c
hexb617845a66da

200212121020122 has 128 divisors (see below), whose sum is σ = 453410265392640. Its totient is φ = 65475527040000.

The previous prime is 200212121020081. The next prime is 200212121020133. The reversal of 200212121020122 is 221020121212002.

It is a happy number.

200212121020122 is a `hidden beast` number, since 20 + 0 + 212 + 1 + 210 + 201 + 22 = 666.

200212121020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200212121020095 and 200212121020104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2607535372 + ... + 2607612152.

It is an arithmetic number, because the mean of its divisors is an integer number (3542267698380).

Almost surely, 2200212121020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212121020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226705132696320).

200212121020122 is an abundant number, since it is smaller than the sum of its proper divisors (253198144372518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200212121020122 is a wasteful number, since it uses less digits than its factorization.

200212121020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81237 (or 81231 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212121020122 its reverse (221020121212002), we get a palindrome (421232242232124).

The spelling of 200212121020122 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-one million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 113 202 226 303 339 606 678 909 1017 1818 2034 2727 3051 4231 5454 6102 8462 11413 12693 22826 25386 34239 38079 68478 76158 76781 102717 114237 153562 205434 228474 230343 308151 427331 460686 478103 616302 691029 854662 956206 1281993 1382058 1434309 2073087 2563986 2868618 3845979 4146174 4302927 7691958 7754881 8605854 8676253 11537937 12908781 15509762 17352506 23075874 23264643 25817562 26028759 46529286 48288403 52057518 69793929 78086277 96576806 139587858 144865209 156172554 209381787 234258831 289730418 324860411 418763574 434595627 468517662 649720822 869191254 876301553 974581233 1303786881 1752603106 1949162466 2607573762 2628904659 2923743699 5257809318 5847487398 7886713977 8771231097 15773427954 17542462194 23660141931 32810901511 36709226443 47320283862 65621803022 73418452886 98432704533 110127679329 196865409066 220255358658 295298113599 330383037987 590596227198 660766075974 885894340797 991149113961 1771788681594 1982298227922 3707631870743 7415263741486 11122895612229 22245791224458 33368686836687 66737373673374 100106060510061 200212121020122