123897427200 has 864 divisors, whose sum is σ = 475686220800. Its totient is φ = 31518720000.

The previous prime is 123897427153. The next prime is 123897427219. The reversal of 123897427200 is 2724798321.

123897427200 is a `hidden beast` number, since 12 + 3 + 8 + 9 + 7 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×123897427200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 541036686 + ... + 541036914.

Almost surely, 2^123897427200 is an apocalyptic number.

123897427200 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 123897427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237843110400).

123897427200 is an abundant number, since it is smaller than the sum of its proper divisors (351788793600).

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

123897427200 is a wasteful number, since it uses less digits than its factorization.

123897427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 123897427200 in words is "one hundred twenty-three billion, eight hundred ninety-seven million, four hundred twenty-seven thousand, two hundred".