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122221212102120 = 23353727527300023
BaseRepresentation
bin11011110010100011010111…
…111011100110110111101000
3121000202020022102020000011210
4123302203113323212313220
5112004433020244231440
61111535352200553120
734513122400424445
oct3362432773466750
9530666272200153
10122221212102120
1135a417a7a274aa
121185b3587827a0
135327545828911
142227776c869cc
15e1e3c2e4ea80
hex6f28d7ee6de8

122221212102120 has 64 divisors (see below), whose sum is σ = 376573464328320. Its totient is φ = 31711449625344.

The previous prime is 122221212102103. The next prime is 122221212102149. The reversal of 122221212102120 is 21201212122221.

It is a super-2 number, since 2×1222212121021202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13763645572 + ... + 13763654451.

It is an arithmetic number, because the mean of its divisors is an integer number (5883960380130).

Almost surely, 2122221212102120 is an apocalyptic number.

122221212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221212102120 is an abundant number, since it is smaller than the sum of its proper divisors (254352252226200).

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

122221212102120 is a wasteful number, since it uses less digits than its factorization.

122221212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527300074 (or 27527300070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122221212102120 its reverse (21201212122221), we get a palindrome (143422424224341).

The spelling of 122221212102120 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 27527300023 55054600046 82581900069 110109200092 137636500115 165163800138 220218400184 275273000230 330327600276 412909500345 550546000460 660655200552 825819000690 1018510100851 1101092000920 1651638001380 2037020201702 3055530302553 3303276002760 4074040403404 5092550504255 6111060605106 8148080806808 10185101008510 12222121210212 15277651512765 20370202017020 24444242420424 30555303025530 40740404034040 61110606051060 122221212102120