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122111122212012 = 22331391198391209
BaseRepresentation
bin11011110000111100110110…
…000100000000010010101100
3121000100201011001200010202110
4123300330312010000102230
5112001132034241241022
61111413024120324020
734502144304666633
oct3360746604002254
9530321131603673
10122111122212012
11359aa04407064a
1211841b53913610
13531a04c817acb
1422222d1b8451a
15e1b5cceed00c
hex6f0f361004ac

122111122212012 has 48 divisors (see below), whose sum is σ = 294124665139200. Its totient is φ = 39389672945280.

The previous prime is 122111122212011. The next prime is 122111122212049. The reversal of 122111122212012 is 210212221111221.

It is a super-2 number, since 2×1221111222120122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111122212012.

It is not an unprimeable number, because it can be changed into a prime (122111122212011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10356664 + ... + 18747872.

It is an arithmetic number, because the mean of its divisors is an integer number (6127597190400).

Almost surely, 2122111122212012 is an apocalyptic number.

122111122212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111122212012 is an abundant number, since it is smaller than the sum of its proper divisors (172013542927188).

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

122111122212012 is a wasteful number, since it uses less digits than its factorization.

122111122212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430366 (or 8430364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122111122212012 its reverse (210212221111221), we get a palindrome (332323343323233).

The spelling of 122111122212012 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 39119 78238 117357 156476 234714 469428 1212689 2425378 3638067 4850756 7276134 8391209 14552268 16782418 25173627 33564836 50347254 100694508 260127479 520254958 780382437 1040509916 1560764874 3121529748 328255704871 656511409742 984767114613 1313022819484 1969534229226 3939068458452 10175926851001 20351853702002 30527780553003 40703707404004 61055561106006 122111122212012