1012128633600 has 1296 divisors, whose sum is σ = 4027590217728. Its totient is φ = 223046369280.

The previous prime is 1012128633589. The next prime is 1012128633617. The reversal of 1012128633600 is 63368212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5137708702 + ... + 5137708898.

Almost surely, 2^{1012128633600} is an apocalyptic number.

1012128633600 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 1012128633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013795108864).

1012128633600 is an abundant number, since it is smaller than the sum of its proper divisors (3015461584128).

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

1012128633600 is a wasteful number, since it uses less digits than its factorization.

1012128633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 1012128633600 in words is "one trillion, twelve billion, one hundred twenty-eight million, six hundred thirty-three thousand, six hundred".