16121647200 has 288 divisors, whose sum is σ = 53814305664. Its totient is φ = 4190883840.

The previous prime is 16121647159. The next prime is 16121647211. The reversal of 16121647200 is 274612161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17205132 + ... + 17206068.

It is an arithmetic number, because the mean of its divisors is an integer number (186855228).

Almost surely, 2^16121647200 is an apocalyptic number.

16121647200 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 16121647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26907152832).

16121647200 is an abundant number, since it is smaller than the sum of its proper divisors (37692658464).

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

16121647200 is a wasteful number, since it uses less digits than its factorization.

16121647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 16121647200 in words is "sixteen billion, one hundred twenty-one million, six hundred forty-seven thousand, two hundred".