12100617000 has 512 divisors, whose sum is σ = 45570470400. Its totient is φ = 2958336000.

The previous prime is 12100616953. The next prime is 12100617007. The reversal of 12100617000 is 71600121.

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

It is not an unprimeable number, because it can be changed into a prime (12100617007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18818679 + ... + 18819321.

It is an arithmetic number, because the mean of its divisors is an integer number (89004825).

Almost surely, 2^12100617000 is an apocalyptic number.

12100617000 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 12100617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785235200).

12100617000 is an abundant number, since it is smaller than the sum of its proper divisors (33469853400).

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

12100617000 is a wasteful number, since it uses less digits than its factorization.

12100617000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 12100617000 in words is "twelve billion, one hundred million, six hundred seventeen thousand".