61201188900 has 432 divisors, whose sum is σ = 206172220800. Its totient is φ = 15572217600.

The previous prime is 61201188899. The next prime is 61201188901. The reversal of 61201188900 is 988110216.

It is an interprime number because it is at equal distance from previous prime (61201188899) and next prime (61201188901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61201188901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 267253986 + ... + 267254214.

Almost surely, 2^61201188900 is an apocalyptic number.

61201188900 is a gapful number since it is divisible by the number (60) 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 61201188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103086110400).

61201188900 is an abundant number, since it is smaller than the sum of its proper divisors (144971031900).

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

61201188900 is a wasteful number, since it uses less digits than its factorization.

61201188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 61201188900 in words is "sixty-one billion, two hundred one million, one hundred eighty-eight thousand, nine hundred".