Search a number
-
+
12214102010120 = 235757403371929
BaseRepresentation
bin1011000110111101000100…
…1101100010100100001000
31121020122201202210010102222
42301233101031202210020
53100103440103310440
641551025255113212
72400303556041443
oct261572115424410
947218652703388
1012214102010120
113989a76188a1a
121453212072808
136a7a284b633a
1430324692c65a
15162ab44282b5
hexb1bd1362908

12214102010120 has 32 divisors (see below), whose sum is σ = 27518033064600. Its totient is φ = 4879186841088.

The previous prime is 12214102010101. The next prime is 12214102010129. The reversal of 12214102010120 is 2101020141221.

It can be written as a sum of positive squares in 4 ways, for example, as 7068036982084 + 5146065028036 = 2658578^2 + 2268494^2 .

It is not an unprimeable number, because it can be changed into a prime (12214102010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201655685 + ... + 201716244.

Almost surely, 212214102010120 is an apocalyptic number.

12214102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214102010120 is an abundant number, since it is smaller than the sum of its proper divisors (15303931054480).

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

12214102010120 is a wasteful number, since it uses less digits than its factorization.

12214102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403372697 (or 403372693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12214102010120 its reverse (2101020141221), we get a palindrome (14315122151341).

The spelling of 12214102010120 in words is "twelve trillion, two hundred fourteen billion, one hundred two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 757 1514 3028 3785 6056 7570 15140 30280 403371929 806743858 1613487716 2016859645 3226975432 4033719290 8067438580 16134877160 305352550253 610705100506 1221410201012 1526762751265 2442820402024 3053525502530 6107051005060 12214102010120