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12220121200104 = 2332169723905557
BaseRepresentation
bin1011000111010011011111…
…1110111011010111101000
31121021020021020221122211100
42301310313332323113220
53100203302011400404
641553502435201400
72400605665233336
oct261646776732750
947236236848740
1012220121200104
1139915849264a4
121454411a46260
136a847754090c
143036580d4b56
15162d17aa1d39
hexb1d37fbb5e8

12220121200104 has 24 divisors (see below), whose sum is σ = 33096161583810. Its totient is φ = 4073373733344.

The previous prime is 12220121200087. The next prime is 12220121200181. The reversal of 12220121200104 is 40100212102221.

It can be written as a sum of positive squares in only one way, i.e., 6916321412100 + 5303799788004 = 2629890^2 + 2302998^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122201212001042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 84861952707 + ... + 84861952850.

Almost surely, 212220121200104 is an apocalyptic number.

It is an amenable number.

12220121200104 is an abundant number, since it is smaller than the sum of its proper divisors (20876040383706).

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

12220121200104 is a wasteful number, since it uses less digits than its factorization.

12220121200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169723905569 (or 169723905562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220121200104 its reverse (40100212102221), we get a palindrome (52320333302325).

The spelling of 12220121200104 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, two hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 169723905557 339447811114 509171716671 678895622228 1018343433342 1357791244456 1527515150013 2036686866684 3055030300026 4073373733368 6110060600052 12220121200104