1200400133296 has 240 divisors, whose sum is σ = 3132234524160. Its totient is φ = 440314237440.

The previous prime is 1200400133281. The next prime is 1200400133321. The reversal of 1200400133296 is 6923310040021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035511 + ... + 9167401.

It is an arithmetic number, because the mean of its divisors is an integer number (13050977184).

Almost surely, 2^{1200400133296} is an apocalyptic number.

1200400133296 is a gapful number since it is divisible by the number (16) 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 1200400133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566117262080).

1200400133296 is an abundant number, since it is smaller than the sum of its proper divisors (1931834390864).

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

1200400133296 is a wasteful number, since it uses less digits than its factorization.

1200400133296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131992 (or 131979 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 1200400133296 in words is "one trillion, two hundred billion, four hundred million, one hundred thirty-three thousand, two hundred ninety-six".