1012532400 has 360 divisors, whose sum is σ = 3979370304. Its totient is φ = 245203200.

The previous prime is 1012532387. The next prime is 1012532413. The reversal of 1012532400 is 42352101.

1012532400 is a `hidden beast` number, since 10 + 1 + 253 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1012532387) and next prime (1012532413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1012532400² = 2050443722099520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068727 + ... + 1069673.

Almost surely, 2^1012532400 is an apocalyptic number.

1012532400 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 1012532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989685152).

1012532400 is an abundant number, since it is smaller than the sum of its proper divisors (2966837904).

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

1012532400 is a wasteful number, since it uses less digits than its factorization.

1012532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1012532400 is about 31820.3142662042. The cubic root of 1012532400 is about 1004.1601359362.

Adding to 1012532400 its reverse (42352101), we get a palindrome (1054884501).

The spelling of 1012532400 in words is "one billion, twelve million, five hundred thirty-two thousand, four hundred".