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12222227148160 = 27519097229919
BaseRepresentation
bin1011000111011011010110…
…0000011110110110000000
31121021102201000122220110111
42301312311200132312000
53100222110122220120
641554451425041104
72401012116422521
oct261666540366600
947242630586414
1012222227148160
113992465657437
1214548bb186194
136a8721931c23
143037b7a8c848
15162ddc8e175a
hexb1db581ed80

12222227148160 has 32 divisors (see below), whose sum is σ = 29218761777600. Its totient is φ = 4888890859008.

The previous prime is 12222227148133. The next prime is 12222227148161. The reversal of 12222227148160 is 6184172222221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×122222271481602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222227148161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9548614320 + ... + 9548615599.

It is an arithmetic number, because the mean of its divisors is an integer number (913086305550).

Almost surely, 212222227148160 is an apocalyptic number.

12222227148160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222227148160 is an abundant number, since it is smaller than the sum of its proper divisors (16996534629440).

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

12222227148160 is an equidigital number, since it uses as much as digits as its factorization.

12222227148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097229938 (or 19097229926 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 12222227148160 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty-seven million, one hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19097229919 38194459838 76388919676 95486149595 152777839352 190972299190 305555678704 381944598380 611111357408 763889196760 1222222714816 1527778393520 2444445429632 3055556787040 6111113574080 12222227148160