212561061000 has 128 divisors (see below), whose sum is σ = 663415833600. Its totient is φ = 56663692800.

The previous prime is 212561060951. The next prime is 212561061001. The reversal of 212561061000 is 160165212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212561061001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10288681 + ... + 10309319.

It is an arithmetic number, because the mean of its divisors is an integer number (5182936200).

Almost surely, 2^212561061000 is an apocalyptic number.

212561061000 is a gapful number since it is divisible by the number (20) 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 212561061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331707916800).

212561061000 is an abundant number, since it is smaller than the sum of its proper divisors (450854772600).

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

212561061000 is a wasteful number, since it uses less digits than its factorization.

212561061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24096 (or 24082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 212561061000 in words is "two hundred twelve billion, five hundred sixty-one million, sixty-one thousand".