123141792 has 48 divisors (see below), whose sum is σ = 325225152. Its totient is φ = 40796160.

The previous prime is 123141763. The next prime is 123141841. The reversal of 123141792 is 297141321.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12192 + ... + 19872.

It is an arithmetic number, because the mean of its divisors is an integer number (6775524).

Almost surely, 2^123141792 is an apocalyptic number.

123141792 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 123141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162612576).

123141792 is an abundant number, since it is smaller than the sum of its proper divisors (202083360).

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

123141792 is a wasteful number, since it uses less digits than its factorization.

123141792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7853 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 123141792 is about 11096.9271422318. The cubic root of 123141792 is about 497.5100098152.

The spelling of 123141792 in words is "one hundred twenty-three million, one hundred forty-one thousand, seven hundred ninety-two".