123801144192 has 384 divisors, whose sum is σ = 394620145920. Its totient is φ = 37251118080.

The previous prime is 123801144169. The next prime is 123801144197. The reversal of 123801144192 is 291441108321.

123801144192 is a `hidden beast` number, since 1 + 238 + 0 + 1 + 1 + 4 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123801144197) 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, 403260903 + ... + 403261209.

It is an arithmetic number, because the mean of its divisors is an integer number (1027656630).

Almost surely, 2^123801144192 is an apocalyptic number.

123801144192 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 123801144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197310072960).

123801144192 is an abundant number, since it is smaller than the sum of its proper divisors (270819001728).

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

123801144192 is a wasteful number, since it uses less digits than its factorization.

123801144192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 123801144192 in words is "one hundred twenty-three billion, eight hundred one million, one hundred forty-four thousand, one hundred ninety-two".