123480352800 has 1512 divisors, whose sum is σ = 547532338500. Its totient is φ = 27067944960.

The previous prime is 123480352783. The next prime is 123480352817. The reversal of 123480352800 is 8253084321.

123480352800 is a `hidden beast` number, since 1 + 2 + 348 + 0 + 35 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123480352783) and next prime (123480352817).

It can be written as a sum of positive squares in 6 ways, for example, as 22180740624 + 101299612176 = 148932^2 + 318276^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×123480352800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 828727126 + ... + 828727274.

Almost surely, 2^123480352800 is an apocalyptic number.

123480352800 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 123480352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273766169250).

123480352800 is an abundant number, since it is smaller than the sum of its proper divisors (424051985700).

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

123480352800 is a wasteful number, since it uses less digits than its factorization.

123480352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 123480352800 in words is "one hundred twenty-three billion, four hundred eighty million, three hundred fifty-two thousand, eight hundred".