12633312372720 has 640 divisors, whose sum is σ = 43405157892096. Its totient is φ = 3020544000000.

The previous prime is 12633312372689. The next prime is 12633312372731. The reversal of 12633312372720 is 2727321333621.

It is a happy number.

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, 10975944145 + ... + 10975945295.

Almost surely, 2^{12633312372720} is an apocalyptic number.

12633312372720 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 12633312372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702578946048).

12633312372720 is an abundant number, since it is smaller than the sum of its proper divisors (30771845519376).

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

12633312372720 is a wasteful number, since it uses less digits than its factorization.

12633312372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 12633312372720 in words is "twelve trillion, six hundred thirty-three billion, three hundred twelve million, three hundred seventy-two thousand, seven hundred twenty".