1212957745200 has 1440 divisors, whose sum is σ = 4797004972032. Its totient is φ = 282341376000.

The previous prime is 1212957745159. The next prime is 1212957745271. The reversal of 1212957745200 is 25477592121.

1212957745200 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 9 + 57 + 74 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5439272289 + ... + 5439272511.

Almost surely, 2^{1212957745200} is an apocalyptic number.

1212957745200 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 1212957745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398502486016).

1212957745200 is an abundant number, since it is smaller than the sum of its proper divisors (3584047226832).

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

1212957745200 is a wasteful number, since it uses less digits than its factorization.

1212957745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1212957745200 in words is "one trillion, two hundred twelve billion, nine hundred fifty-seven million, seven hundred forty-five thousand, two hundred".