1012378000 has 80 divisors (see below), whose sum is σ = 2460556800. Its totient is φ = 402864000.

The previous prime is 1012377983. The next prime is 1012378019. The reversal of 1012378000 is 8732101.

1012378000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420801 + ... + 423199.

It is an arithmetic number, because the mean of its divisors is an integer number (30756960).

Almost surely, 2^1012378000 is an apocalyptic number.

1012378000 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 1012378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230278400).

1012378000 is an abundant number, since it is smaller than the sum of its proper divisors (1448178800).

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

1012378000 is a wasteful number, since it uses less digits than its factorization.

1012378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1012378000 is about 31817.8880505919. Note that the first 3 decimals coincide. The cubic root of 1012378000 is about 1004.1090922342.

The spelling of 1012378000 in words is "one billion, twelve million, three hundred seventy-eight thousand".