123151156800 has 336 divisors, whose sum is σ = 462250414080. Its totient is φ = 28118845440.

The previous prime is 123151156771. The next prime is 123151156811. The reversal of 123151156800 is 8651151321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52650031 + ... + 52652369.

It is an arithmetic number, because the mean of its divisors is an integer number (1375745280).

Almost surely, 2^123151156800 is an apocalyptic number.

123151156800 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 123151156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231125207040).

123151156800 is an abundant number, since it is smaller than the sum of its proper divisors (339099257280).

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

123151156800 is a wasteful number, since it uses less digits than its factorization.

123151156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 123151156800 in words is "one hundred twenty-three billion, one hundred fifty-one million, one hundred fifty-six thousand, eight hundred".