12205611000 has 192 divisors, whose sum is σ = 45005781600. Its totient is φ = 2958912000.

The previous prime is 12205610983. The next prime is 12205611007. The reversal of 12205611000 is 11650221.

12205611000 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 561 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205611007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37356 + ... + 160644.

Almost surely, 2^12205611000 is an apocalyptic number.

12205611000 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 12205611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22502890800).

12205611000 is an abundant number, since it is smaller than the sum of its proper divisors (32800170600).

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

12205611000 is a wasteful number, since it uses less digits than its factorization.

12205611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123327 (or 123310 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 12205611000 in words is "twelve billion, two hundred five million, six hundred eleven thousand".