221312112021000 has 1536 divisors, whose sum is σ = 1031500875525120. Its totient is φ = 41302130688000.

The previous prime is 221312112020969. The next prime is 221312112021023. The reversal of 221312112021000 is 120211213122.

221312112021000 is a `hidden beast` number, since 2 + 21 + 312 + 1 + 120 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333001032 + ... + 333664968.

It is an arithmetic number, because the mean of its divisors is an integer number (671550049170).

Almost surely, 2^{221312112021000} is an apocalyptic number.

221312112021000 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 221312112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515750437762560).

221312112021000 is an abundant number, since it is smaller than the sum of its proper divisors (810188763504120).

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

221312112021000 is a wasteful number, since it uses less digits than its factorization.

221312112021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664032 (or 664015 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221312112021000 its reverse (120211213122), we get a palindrome (221432323234122).

The spelling of 221312112021000 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred twelve million, twenty-one thousand".