123285977100 has 864 divisors, whose sum is σ = 498739078656. Its totient is φ = 25953177600.

The previous prime is 123285977071. The next prime is 123285977107. The reversal of 123285977100 is 1779582321.

123285977100 is a `hidden beast` number, since 1 + 23 + 28 + 597 + 7 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123285977107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59072257 + ... + 59074343.

It is an arithmetic number, because the mean of its divisors is an integer number (577244304).

Almost surely, 2^123285977100 is an apocalyptic number.

123285977100 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 123285977100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249369539328).

123285977100 is an abundant number, since it is smaller than the sum of its proper divisors (375453101556).

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

123285977100 is a wasteful number, since it uses less digits than its factorization.

123285977100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 123285977100 in words is "one hundred twenty-three billion, two hundred eighty-five million, nine hundred seventy-seven thousand, one hundred".