123972940 has 144 divisors (see below), whose sum is σ = 336232512. Its totient is φ = 38029824.

The previous prime is 123972931. The next prime is 123972949. The reversal of 123972940 is 49279321.

It is an interprime number because it is at equal distance from previous prime (123972931) and next prime (123972949).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 123972940.

It is not an unprimeable number, because it can be changed into a prime (123972949) 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, 471249 + ... + 471511.

It is an arithmetic number, because the mean of its divisors is an integer number (2334948).

Almost surely, 2^123972940 is an apocalyptic number.

123972940 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 123972940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168116256).

123972940 is an abundant number, since it is smaller than the sum of its proper divisors (212259572).

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

123972940 is a wasteful number, since it uses less digits than its factorization.

123972940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 123972940 is about 11134.3136294969. The cubic root of 123972940 is about 498.6268188662.

The spelling of 123972940 in words is "one hundred twenty-three million, nine hundred seventy-two thousand, nine hundred forty".