123153372000 has 1152 divisors, whose sum is σ = 498402253440. Its totient is φ = 29727129600.

The previous prime is 123153371987. The next prime is 123153372007. The reversal of 123153372000 is 273351321.

123153372000 is a `hidden beast` number, since 12 + 315 + 337 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123153372007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479195872 + ... + 479196128.

It is an arithmetic number, because the mean of its divisors is an integer number (432640845).

Almost surely, 2^123153372000 is an apocalyptic number.

123153372000 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 123153372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249201126720).

123153372000 is an abundant number, since it is smaller than the sum of its proper divisors (375248881440).

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

123153372000 is a wasteful number, since it uses less digits than its factorization.

123153372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 123153372000 in words is "one hundred twenty-three billion, one hundred fifty-three million, three hundred seventy-two thousand".