1012126900 has 72 divisors (see below), whose sum is σ = 2237669280. Its totient is φ = 397299840.

The previous prime is 1012126889. The next prime is 1012126919. The reversal of 1012126900 is 96212101.

1012126900 = T₂₅₀ + T₂₅₁ + ... + T₁₈₂₅.

It is a super-2 number, since 2×1012126900² = 2048801723407220000, which contains 22 as substring.

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, 1634791 + ... + 1635409.

It is an arithmetic number, because the mean of its divisors is an integer number (31078740).

Almost surely, 2^1012126900 is an apocalyptic number.

1012126900 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 1012126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118834640).

1012126900 is an abundant number, since it is smaller than the sum of its proper divisors (1225542380).

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

1012126900 is a wasteful number, since it uses less digits than its factorization.

1012126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1012126900 is about 31813.9419123126. The cubic root of 1012126900 is about 1004.0260690151.

The spelling of 1012126900 in words is "one billion, twelve million, one hundred twenty-six thousand, nine hundred".