1207214053200 has 600 divisors, whose sum is σ = 4591457612280. Its totient is φ = 303232204800.

The previous prime is 1207214053183. The next prime is 1207214053237. The reversal of 1207214053200 is 23504127021.

1207214053200 is a `hidden beast` number, since 1 + 20 + 72 + 1 + 40 + 532 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 297304105536 + 909909947664 = 545256^2 + 953892^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38507932 + ... + 38539268.

Almost surely, 2^{1207214053200} is an apocalyptic number.

1207214053200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207214053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295728806140).

1207214053200 is an abundant number, since it is smaller than the sum of its proper divisors (3384243559080).

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

1207214053200 is a wasteful number, since it uses less digits than its factorization.

1207214053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31437 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1207214053200 in words is "one trillion, two hundred seven billion, two hundred fourteen million, fifty-three thousand, two hundred".