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122022102202002 = 2326779005677889
BaseRepresentation
bin11011101111101001111100…
…000011100111011010010010
3121000001012101002211002011200
4123233221330003213122102
5111443202231130431002
61111304102504452030
734462543305254022
oct3357517403473222
9530035332732150
10122022102202002
1135975312646542
121182884b17a016
135311833a47b82
14221bc890a5a82
15e1911cbedb1c
hex6efa7c0e7692

122022102202002 has 12 divisors (see below), whose sum is σ = 264381221437710. Its totient is φ = 40674034067328.

The previous prime is 122022102201997. The next prime is 122022102202051. The reversal of 122022102202002 is 200202201220221.

122022102202002 is a `hidden beast` number, since 1 + 2 + 20 + 221 + 0 + 220 + 200 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72975485119761 + 49046617082241 = 8542569^2 + 7003329^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6779005677889 = 122022102202002 / (1 + 2 + 2 + 0 + 2 + 2 + 1 + 0 + 2 + 2 + 0 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3389502838927 + ... + 3389502838962.

Almost surely, 2122022102202002 is an apocalyptic number.

122022102202002 is an abundant number, since it is smaller than the sum of its proper divisors (142359119235708).

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

122022102202002 is a wasteful number, since it uses less digits than its factorization.

122022102202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779005677897 (or 6779005677894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122022102202002 its reverse (200202201220221), we get a palindrome (322224303422223).

The spelling of 122022102202002 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred two million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 6779005677889 13558011355778 20337017033667 40674034067334 61011051101001 122022102202002