123770550528000 has 1920 divisors, whose sum is σ = 476259709685760. Its totient is φ = 31954806374400.

The previous prime is 123770550527983. The next prime is 123770550528011. The reversal of 123770550528000 is 825055077321.

123770550528000 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 70 + 5 + 50 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 113239295454 + ... + 113239296546.

It is an arithmetic number, because the mean of its divisors is an integer number (248051932128).

Almost surely, 2^{123770550528000} is an apocalyptic number.

123770550528000 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 123770550528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238129854842880).

123770550528000 is an abundant number, since it is smaller than the sum of its proper divisors (352489159157760).

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

123770550528000 is a wasteful number, since it uses less digits than its factorization.

123770550528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 123770550528000 in words is "one hundred twenty-three trillion, seven hundred seventy billion, five hundred fifty million, five hundred twenty-eight thousand".