1207132900416 has 63 divisors (see below), whose sum is σ = 3460104087271. Its totient is φ = 402368843904.

The previous prime is 1207132900409. The next prime is 1207132900447. The reversal of 1207132900416 is 6140092317021.

The square root of 1207132900416 is 1098696.

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

1207132900416 is a `hidden beast` number, since 1 + 20 + 7 + 132 + 90 + 0 + 416 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26345815 + ... + 26391593.

Almost surely, 2^{1207132900416} is an apocalyptic number.

1207132900416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1207132900416 is the 1098696-th square number.

It is an amenable number.

1207132900416 is an abundant number, since it is smaller than the sum of its proper divisors (2252971186855).

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

1207132900416 is an frugal number, since it uses more digits than its factorization.

1207132900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91576 (or 45784 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 1207132900416 by its sum of digits (36), we get a square (43456784414976 = 6592176²).

1207132900416 divided by its sum of digits (36) gives a square (33531469456 = 183116²).

The spelling of 1207132900416 in words is "one trillion, two hundred seven billion, one hundred thirty-two million, nine hundred thousand, four hundred sixteen".