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12210202120 = 235305255053
BaseRepresentation
bin10110101111100100…
…01110011000001000
31011111221122112110011
423113302032120020
5200001302431440
65335335001304
7611403001624
oct132762163010
934457575404
1012210202120
1151a6382636
122449209234
1311c788168c
1483b8d8184
154b6e429ea
hex2d7c8e608

12210202120 has 16 divisors (see below), whose sum is σ = 27472954860. Its totient is φ = 4884080832.

The previous prime is 12210202091. The next prime is 12210202129. The reversal of 12210202120 is 2120201221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12205388484 + 4813636 = 110478^2 + 2194^2 .

It is a super-3 number, since 3×122102021203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12210202120.

It is not an unprimeable number, because it can be changed into a prime (12210202129) 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, 152627487 + ... + 152627566.

Almost surely, 212210202120 is an apocalyptic number.

12210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210202120 is an abundant number, since it is smaller than the sum of its proper divisors (15262752740).

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

12210202120 is a wasteful number, since it uses less digits than its factorization.

12210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305255064 (or 305255060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12210202120 its reverse (2120201221), we get a palindrome (14330403341).

The spelling of 12210202120 in words is "twelve billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305255053 610510106 1221020212 1526275265 2442040424 3052550530 6105101060 12210202120