816121311600 has 120 divisors (see below), whose sum is σ = 2987781289600. Its totient is φ = 186542012160.

The previous prime is 816121311581. The next prime is 816121311619. The reversal of 816121311600 is 6113121618.

816121311600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (816121311581) and next prime (816121311619).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48570250 + ... + 48587049.

Almost surely, 2^816121311600 is an apocalyptic number.

816121311600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816121311600 is an abundant number, since it is smaller than the sum of its proper divisors (2171659978000).

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

816121311600 is a wasteful number, since it uses less digits than its factorization.

816121311600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97157327 (or 97157316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 816121311600 in words is "eight hundred sixteen billion, one hundred twenty-one million, three hundred eleven thousand, six hundred".