201216651600 has 120 divisors (see below), whose sum is σ = 645957937792. Its totient is φ = 53541734400.

The previous prime is 201216651563. The next prime is 201216651607. The reversal of 201216651600 is 6156612102.

201216651600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×201216651600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201216651607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374520 + ... + 736680.

Almost surely, 2^201216651600 is an apocalyptic number.

201216651600 is a gapful number since it is divisible by the number (20) 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 201216651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322978968896).

201216651600 is an abundant number, since it is smaller than the sum of its proper divisors (444741286192).

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

201216651600 is a wasteful number, since it uses less digits than its factorization.

201216651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362645 (or 362634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 201216651600 in words is "two hundred one billion, two hundred sixteen million, six hundred fifty-one thousand, six hundred".