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12274906900 = 2252122749069
BaseRepresentation
bin10110110111010010…
…00011011100010100
31011200110101212201111
423123221003130110
5200114334010100
65350005504404
7613116662404
oct133351033424
934613355644
1012274906900
115229957263
122466a12104
1312080b7c29
1484633c804
154bc9746ba
hex2dba43714

12274906900 has 18 divisors (see below), whose sum is σ = 26636548190. Its totient is φ = 4909962720.

The previous prime is 12274906801. The next prime is 12274906907. The reversal of 12274906900 is 960947221.

12274906900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 297355536 + 11977551364 = 17244^2 + 109442^2 .

It is a super-2 number, since 2×122749069002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274906907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61374435 + ... + 61374634.

Almost surely, 212274906900 is an apocalyptic number.

12274906900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12274906900 is an abundant number, since it is smaller than the sum of its proper divisors (14361641290).

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

12274906900 is a wasteful number, since it uses less digits than its factorization.

12274906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122749083 (or 122749076 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 12274906900 in words is "twelve billion, two hundred seventy-four million, nine hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122749069 245498138 490996276 613745345 1227490690 2454981380 3068726725 6137453450 12274906900