1012191600 has 240 divisors, whose sum is σ = 3797256960. Its totient is φ = 225638400.

The previous prime is 1012191589. The next prime is 1012191623. The reversal of 1012191600 is 61912101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1012191600² = 2049063670221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 342931 + ... + 345869.

It is an arithmetic number, because the mean of its divisors is an integer number (15821904).

Almost surely, 2^1012191600 is an apocalyptic number.

1012191600 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 1012191600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898628480).

1012191600 is an abundant number, since it is smaller than the sum of its proper divisors (2785065360).

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

1012191600 is a wasteful number, since it uses less digits than its factorization.

1012191600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 1012191600 is about 31814.9587458478. The cubic root of 1012191600 is about 1004.0474626113.

The spelling of 1012191600 in words is "one billion, twelve million, one hundred ninety-one thousand, six hundred".