123151200 has 216 divisors, whose sum is σ = 423363528. Its totient is φ = 31088640.

The previous prime is 123151199. The next prime is 123151211. The reversal of 123151200 is 2151321.

123151200 = 145² + 146² + ... + 719².

It is a super-2 number, since 2×123151200² = 30332436122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123151200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1269552 + ... + 1269648.

Almost surely, 2^123151200 is an apocalyptic number.

123151200 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 123151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211681764).

123151200 is an abundant number, since it is smaller than the sum of its proper divisors (300212328).

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

123151200 is a wasteful number, since it uses less digits than its factorization.

123151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 123151200 is about 11097.3510352696. The cubic root of 123151200 is about 497.5226793698.

The spelling of 123151200 in words is "one hundred twenty-three million, one hundred fifty-one thousand, two hundred".