812371029120 has 384 divisors, whose sum is σ = 3292617968640. Its totient is φ = 180665966592.

The previous prime is 812371029047. The next prime is 812371029133. The reversal of 812371029120 is 21920173218.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219569 + ... + 1764111.

It is an arithmetic number, because the mean of its divisors is an integer number (8574525960).

Almost surely, 2^812371029120 is an apocalyptic number.

812371029120 is a gapful number since it is divisible by the number (80) 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 812371029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646308984320).

812371029120 is an abundant number, since it is smaller than the sum of its proper divisors (2480246939520).

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

812371029120 is a wasteful number, since it uses less digits than its factorization.

812371029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544612 (or 544597 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 812371029120 in words is "eight hundred twelve billion, three hundred seventy-one million, twenty-nine thousand, one hundred twenty".