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121122100022022 = 232119750231255519
BaseRepresentation
bin11011100010100011101111…
…101111110000101100000110
3120212212011022101221020120100
4123202203233233300230012
5111333431030101201042
61105334420302344530
734340532360043611
oct3342435757605406
9525764271836510
10121122100022022
11356586598a7910
121170233628b146
1352779c39a7748
1421ca4ab6b3178
15e009e53e124c
hex6e28efbf0b06

121122100022022 has 96 divisors (see below), whose sum is σ = 289297842462720. Its totient is φ = 36318017640960.

The previous prime is 121122100021987. The next prime is 121122100022023. The reversal of 121122100022022 is 220220001221121.

It is a happy number.

121122100022022 is a `hidden beast` number, since 1 + 211 + 2 + 210 + 0 + 0 + 220 + 22 = 666.

It is a super-2 number, since 2×1211221000220222 (a number of 29 digits) contains 22 as substring.

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 = 121122100021986 and 121122100022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122100022023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95843979 + ... + 97099497.

It is an arithmetic number, because the mean of its divisors is an integer number (3013519192320).

Almost surely, 2121122100022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122100022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144648921231360).

121122100022022 is an abundant number, since it is smaller than the sum of its proper divisors (168175742440698).

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

121122100022022 is a wasteful number, since it uses less digits than its factorization.

121122100022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260658 (or 1260655 counting only the distinct ones).

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

Adding to 121122100022022 its reverse (220220001221121), we get a palindrome (341342101243143).

The spelling of 121122100022022 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 5023 6402 9603 10046 15069 19206 30138 45207 55253 90414 110506 165759 331518 487231 497277 974462 994554 1255519 1461693 2511038 2923386 3766557 4385079 5359541 7533114 8770158 10719082 11299671 13810709 16078623 22599342 27621418 32157246 41432127 48235869 82864254 96471738 121785343 124296381 243570686 248592762 365356029 730712058 1096068087 1339638773 2192136174 2679277546 4018916319 6306471937 8037832638 12056748957 12612943874 18919415811 24113497914 37838831622 56758247433 69371191307 113516494866 138742382614 208113573921 416227147842 611727777889 624340721763 1223455555778 1248681443526 1835183333667 3670366667334 5505550001001 6729005556779 11011100002002 13458011113558 20187016670337 40374033340674 60561050011011 121122100022022