21201222152000 has 560 divisors, whose sum is σ = 59628223948800. Its totient is φ = 7459562880000.

The previous prime is 21201222151933. The next prime is 21201222152039. The reversal of 21201222152000 is 25122210212.

It is a super-2 number, since 2×21201222152000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3630965081 + ... + 3630970919.

Almost surely, 2^{21201222152000} is an apocalyptic number.

21201222152000 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 21201222152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814111974400).

21201222152000 is an abundant number, since it is smaller than the sum of its proper divisors (38427001796800).

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

21201222152000 is an frugal number, since it uses more digits than its factorization.

21201222152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21201222152000 its reverse (25122210212), we get a palindrome (21226344362212).

The spelling of 21201222152000 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, one hundred fifty-two thousand".