123007572100 has 144 divisors (see below), whose sum is σ = 310578871680. Its totient is φ = 41417625600.

The previous prime is 123007572091. The next prime is 123007572179. The reversal of 123007572100 is 1275700321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8887986 + ... + 8901814.

It is an arithmetic number, because the mean of its divisors is an integer number (2156797720).

Almost surely, 2^123007572100 is an apocalyptic number.

123007572100 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 123007572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155289435840).

123007572100 is an abundant number, since it is smaller than the sum of its proper divisors (187571299580).

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

123007572100 is a wasteful number, since it uses less digits than its factorization.

123007572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14078 (or 14071 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 123007572100 in words is "one hundred twenty-three billion, seven million, five hundred seventy-two thousand, one hundred".