20162101621200 has 480 divisors, whose sum is σ = 81102072468480. Its totient is φ = 4159384473600.

The previous prime is 20162101621171. The next prime is 20162101621247. The reversal of 20162101621200 is 212610126102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12058692 + ... + 13628508.

It is an arithmetic number, because the mean of its divisors is an integer number (168962650976).

Almost surely, 2^{20162101621200} is an apocalyptic number.

20162101621200 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 20162101621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40551036234240).

20162101621200 is an abundant number, since it is smaller than the sum of its proper divisors (60939970847280).

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

20162101621200 is a wasteful number, since it uses less digits than its factorization.

20162101621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569995 (or 1569984 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 20162101621200 its reverse (212610126102), we get a palindrome (20374711747302).

The spelling of 20162101621200 in words is "twenty trillion, one hundred sixty-two billion, one hundred one million, six hundred twenty-one thousand, two hundred".