1012006400 has 60 divisors (see below), whose sum is σ = 2507356632. Its totient is φ = 404797440.

The previous prime is 1012006363. The next prime is 1012006421. The reversal of 1012006400 is 46002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26732 + ... + 52331.

Almost surely, 2^1012006400 is an apocalyptic number.

1012006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012006400 is an abundant number, since it is smaller than the sum of its proper divisors (1495350232).

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

1012006400 is an frugal number, since it uses more digits than its factorization.

1012006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79091 (or 79070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012006400 is about 31812.0480321528. The cubic root of 1012006400 is about 1003.9862222518.

Adding to 1012006400 its reverse (46002101), we get a palindrome (1058008501).

The spelling of 1012006400 in words is "one billion, twelve million, six thousand, four hundred".