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1122121121022 = 2321117353944389
BaseRepresentation
bin10000010101000011101…
…000010111110011111110
310222021101112212011000100
4100111003220113303332
5121341101001333042
62215254553541530
7144033131103516
oct20250350276376
93867345764010
101122121121022
113a29861346a0
121615841148a6
1381a7aa574b5
143c44d376846
151e2c7a5724c
hex10543a17cfe

1122121121022 has 96 divisors (see below), whose sum is σ = 2816261641440. Its totient is φ = 319127592960.

The previous prime is 1122121120957. The next prime is 1122121121047. The reversal of 1122121121022 is 2201211212211.

1122121121022 is a `hidden beast` number, since 1 + 1 + 221 + 211 + 210 + 22 = 666.

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 = 1122121120986 and 1122121121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716004 + ... + 1660392.

It is an arithmetic number, because the mean of its divisors is an integer number (29336058765).

Almost surely, 21122121121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122121121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408130820720).

1122121121022 is an abundant number, since it is smaller than the sum of its proper divisors (1694140520418).

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

1122121121022 is a wasteful number, since it uses less digits than its factorization.

1122121121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944778 (or 944775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122121121022 its reverse (2201211212211), we get a palindrome (3323332333233).

The spelling of 1122121121022 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 353 374 561 706 1059 1122 1683 2118 3177 3366 3883 6001 6354 7766 11649 12002 18003 23298 34947 36006 54009 66011 69894 108018 132022 198033 396066 594099 944389 1188198 1888778 2833167 5666334 8499501 10388279 16054613 16999002 20776558 31164837 32109226 48163839 62329674 93494511 96327678 144491517 176600743 186989022 288983034 333369317 353201486 529802229 666738634 1000107951 1059604458 1589406687 2000215902 3000323853 3178813374 3667062487 5667278389 6000647706 7334124974 11001187461 11334556778 17001835167 22002374922 33003562383 34003670334 51005505501 62340062279 66007124766 102011011002 124680124558 187020186837 374040373674 561060560511 1122121121022