1200945715200 has 2592 divisors, whose sum is σ = 5752339014240. Its totient is φ = 233570304000.

The previous prime is 1200945715181. The next prime is 1200945715213. The reversal of 1200945715200 is 25175490021.

1200945715200 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 45 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×1200945715200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6635059110 + ... + 6635059290.

It is an arithmetic number, because the mean of its divisors is an integer number (2219266595).

Almost surely, 2^{1200945715200} is an apocalyptic number.

1200945715200 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 1200945715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876169507120).

1200945715200 is an abundant number, since it is smaller than the sum of its proper divisors (4551393299040).

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

1200945715200 is a wasteful number, since it uses less digits than its factorization.

1200945715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1200945715200 in words is "one trillion, two hundred billion, nine hundred forty-five million, seven hundred fifteen thousand, two hundred".