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122111212102120 = 23519315817514521
BaseRepresentation
bin11011110000111100111011…
…011010111010000111101000
3121000100201101022211000210201
4123300330323122322013220
5112001132230244231440
61111413041051121544
734502146446024133
oct3360747332720750
9530321338730721
10122111212102120
11359aa08a88739a
1211841b79a432b4
13531a06532ba17
1422222ddaa321a
15e1b5d5d5719a
hex6f0f3b6ba1e8

122111212102120 has 32 divisors (see below), whose sum is σ = 276173803554120. Its totient is φ = 48591404605440.

The previous prime is 122111212102073. The next prime is 122111212102153. The reversal of 122111212102120 is 21201212111221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88881037050276 + 33230175051844 = 9427674^2 + 5764562^2 .

It is a super-2 number, since 2×1221112121021202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7908749541 + ... + 7908764980.

Almost surely, 2122111212102120 is an apocalyptic number.

122111212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111212102120 is an abundant number, since it is smaller than the sum of its proper divisors (154062591452000).

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

122111212102120 is a wasteful number, since it uses less digits than its factorization.

122111212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817514725 (or 15817514721 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122111212102120 its reverse (21201212111221), we get a palindrome (143312424213341).

The spelling of 122111212102120 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 15817514521 31635029042 63270058084 79087572605 126540116168 158175145210 316350290420 632700580840 3052780302553 6105560605106 12211121210212 15263901512765 24422242420424 30527803025530 61055606051060 122111212102120