1012196966400 has 513 divisors, whose sum is σ = 3653797521673. Its totient is φ = 267858739200.

The previous prime is 1012196966383. The next prime is 1012196966423. The reversal of 1012196966400 is 46696912101.

It is a happy number.

The square root of 1012196966400 is 1006080.

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

1012196966400 is a `hidden beast` number, since 1 + 0 + 121 + 9 + 69 + 66 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 364390907904 + 647806058496 = 603648^2 + 804864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7726694335 + ... + 7726694465.

Almost surely, 2^{1012196966400} is an apocalyptic number.

1012196966400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012196966400 is the 1006080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012196966400

1012196966400 is an abundant number, since it is smaller than the sum of its proper divisors (2641600555273).

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

1012196966400 is an frugal number, since it uses more digits than its factorization.

1012196966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1012196966400 in words is "one trillion, twelve billion, one hundred ninety-six million, nine hundred sixty-six thousand, four hundred".