13212672000 has 896 divisors, whose sum is σ = 52995990528. Its totient is φ = 2883584000.

The previous prime is 13212671981. The next prime is 13212672019. The reversal of 13212672000 is 27621231.

It is an interprime number because it is at equal distance from previous prime (13212671981) and next prime (13212672019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574463989 + ... + 574464011.

Almost surely, 2^13212672000 is an apocalyptic number.

13212672000 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 13212672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497995264).

13212672000 is an abundant number, since it is smaller than the sum of its proper divisors (39783318528).

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

13212672000 is a wasteful number, since it uses less digits than its factorization.

13212672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 13212672000 in words is "thirteen billion, two hundred twelve million, six hundred seventy-two thousand".