61201200 has 60 divisors (see below), whose sum is σ = 196051688. Its totient is φ = 16320000.

The previous prime is 61201199. The next prime is 61201201. The reversal of 61201200 is 210216.

It is an interprime number because it is at equal distance from previous prime (61201199) and next prime (61201201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (61201201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24301 + ... + 26700.

Almost surely, 2^61201200 is an apocalyptic number.

61201200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61201200 is an abundant number, since it is smaller than the sum of its proper divisors (134850488).

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

61201200 is a wasteful number, since it uses less digits than its factorization.

61201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51022 (or 51011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61201200 is about 7823.1195823661. The cubic root of 61201200 is about 394.0820429182.

Adding to 61201200 its reverse (210216), we get a palindrome (61411416).

The spelling of 61201200 in words is "sixty-one million, two hundred one thousand, two hundred".