1214965285200 has 180 divisors, whose sum is σ = 4330220667708. Its totient is φ = 315234201600.

The previous prime is 1214965285187. The next prime is 1214965285211. The reversal of 1214965285200 is 25825694121.

1214965285200 is a `hidden beast` number, since 1 + 2 + 1 + 49 + 65 + 28 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 247323203856 + 967642081344 = 497316^2 + 983688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1214965285200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4427481 + ... + 4693880.

Almost surely, 2^{1214965285200} is an apocalyptic number.

1214965285200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214965285200 is an abundant number, since it is smaller than the sum of its proper divisors (3115255382508).

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

1214965285200 is a wasteful number, since it uses less digits than its factorization.

1214965285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121422 (or 9121408 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1214965285200 in words is "one trillion, two hundred fourteen billion, nine hundred sixty-five million, two hundred eighty-five thousand, two hundred".