221121311512640 has 224 divisors, whose sum is σ = 656913424564224. Its totient is φ = 68874567874560.

The previous prime is 221121311512567. The next prime is 221121311512663. The reversal of 221121311512640 is 46215113121122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 221121311512597 and 221121311512606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33622169 + ... + 39657191.

Almost surely, 2^{221121311512640} is an apocalyptic number.

221121311512640 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 221121311512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328456712282112).

221121311512640 is an abundant number, since it is smaller than the sum of its proper divisors (435792113051584).

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

221121311512640 is a wasteful number, since it uses less digits than its factorization.

221121311512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036545 (or 6036535 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 221121311512640 its reverse (46215113121122), we get a palindrome (267336424633762).

The spelling of 221121311512640 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, three hundred eleven million, five hundred twelve thousand, six hundred forty".