1200568100 has 72 divisors (see below), whose sum is σ = 2711779560. Its totient is φ = 460794880.

The previous prime is 1200568091. The next prime is 1200568133. The reversal of 1200568100 is 18650021.

1200568100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 385808164 + 814759936 = 19642^2 + 28544^2 .

It is a super-2 number, since 2×1200568100² = 2882727525475220000, which contains 22 as substring.

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, 500504 + ... + 502896.

It is an arithmetic number, because the mean of its divisors is an integer number (37663605).

Almost surely, 2^1200568100 is an apocalyptic number.

1200568100 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 1200568100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355889780).

1200568100 is an abundant number, since it is smaller than the sum of its proper divisors (1511211460).

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

1200568100 is a wasteful number, since it uses less digits than its factorization.

1200568100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1200568100 is about 34649.2149983228. The cubic root of 1200568100 is about 1062.8262361525.

The spelling of 1200568100 in words is "one billion, two hundred million, five hundred sixty-eight thousand, one hundred".