123821952 has 64 divisors (see below), whose sum is σ = 331622400. Its totient is φ = 40932864.

The previous prime is 123821947. The next prime is 123821959. The reversal of 123821952 is 259128321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123821959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47499 + ... + 50037.

It is an arithmetic number, because the mean of its divisors is an integer number (5181600).

Almost surely, 2^123821952 is an apocalyptic number.

123821952 is a gapful number since it is divisible by the number (12) 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 123821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

123821952 is an abundant number, since it is smaller than the sum of its proper divisors (207800448).

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

123821952 is a wasteful number, since it uses less digits than its factorization.

123821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2671 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 123821952 is about 11127.5312625937. The cubic root of 123821952 is about 498.4243089449.

The spelling of 123821952 in words is "one hundred twenty-three million, eight hundred twenty-one thousand, nine hundred fifty-two".