16121318400 has 396 divisors, whose sum is σ = 62979295704. Its totient is φ = 3907584000.

The previous prime is 16121318393. The next prime is 16121318491. The reversal of 16121318400 is 481312161.

It is a happy number.

16121318400 is a `hidden beast` number, since 1 + 612 + 1 + 3 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2531220 + ... + 2537580.

Almost surely, 2^16121318400 is an apocalyptic number.

16121318400 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 16121318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489647852).

16121318400 is an abundant number, since it is smaller than the sum of its proper divisors (46857977304).

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

16121318400 is a wasteful number, since it uses less digits than its factorization.

16121318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 16121318400 in words is "sixteen billion, one hundred twenty-one million, three hundred eighteen thousand, four hundred".