1162127120400 has 675 divisors, whose sum is σ = 4288911776149. Its totient is φ = 301362647040.

The previous prime is 1162127120353. The next prime is 1162127120417. The reversal of 1162127120400 is 40217212611.

The square root of 1162127120400 is 1078020.

It is a perfect power (a square), and thus also a powerful number.

1162127120400 is a `hidden beast` number, since 1 + 1 + 621 + 27 + 12 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1106762912784 + 55364207616 = 1052028^2 + 235296^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10284310744 + ... + 10284310856.

Almost surely, 2^{1162127120400} is an apocalyptic number.

1162127120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1162127120400 is the 1078020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1162127120400

1162127120400 is an abundant number, since it is smaller than the sum of its proper divisors (3126784655749).

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

1162127120400 is an equidigital number, since it uses as much as digits as its factorization.

1162127120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1162127120400 in words is "one trillion, one hundred sixty-two billion, one hundred twenty-seven million, one hundred twenty thousand, four hundred".