123051052800 has 1620 divisors, whose sum is σ = 532936228440. Its totient is φ = 27769651200.

The previous prime is 123051052793. The next prime is 123051052841. The reversal of 123051052800 is 8250150321.

It is a happy number.

123051052800 is a `hidden beast` number, since 1 + 23 + 0 + 510 + 52 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3969388785 + ... + 3969388815.

Almost surely, 2^123051052800 is an apocalyptic number.

123051052800 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 123051052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266468114220).

123051052800 is an abundant number, since it is smaller than the sum of its proper divisors (409885175640).

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

123051052800 is a wasteful number, since it uses less digits than its factorization.

123051052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 123051052800 in words is "one hundred twenty-three billion, fifty-one million, fifty-two thousand, eight hundred".