1200966566400 has 960 divisors, whose sum is σ = 4510288823040. Its totient is φ = 312931123200.

The previous prime is 1200966566389. The next prime is 1200966566489. The reversal of 1200966566400 is 46656690021.

1200966566400 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 66 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1200966566400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4566412669 + ... + 4566412931.

It is an arithmetic number, because the mean of its divisors is an integer number (4698217524).

Almost surely, 2^{1200966566400} is an apocalyptic number.

1200966566400 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 1200966566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255144411520).

1200966566400 is an abundant number, since it is smaller than the sum of its proper divisors (3309322256640).

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

1200966566400 is a wasteful number, since it uses less digits than its factorization.

1200966566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1200966566400 in words is "one trillion, two hundred billion, nine hundred sixty-six million, five hundred sixty-six thousand, four hundred".