1272814033920 has 1408 divisors, whose sum is σ = 5134339768320. Its totient is φ = 264366981120.

The previous prime is 1272814033919. The next prime is 1272814033949. The reversal of 1272814033920 is 293304182721.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3323274049 + ... + 3323274431.

Almost surely, 2^{1272814033920} is an apocalyptic number.

1272814033920 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 1272814033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567169884160).

1272814033920 is an abundant number, since it is smaller than the sum of its proper divisors (3861525734400).

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

1272814033920 is a wasteful number, since it uses less digits than its factorization.

1272814033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1272814033920 in words is "one trillion, two hundred seventy-two billion, eight hundred fourteen million, thirty-three thousand, nine hundred twenty".