121222543381632 has 768 divisors, whose sum is σ = 454605776352000. Its totient is φ = 30718369382400.

The previous prime is 121222543381579. The next prime is 121222543381661. The reversal of 121222543381632 is 236183345222121.

121222543381632 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 2 + 5 + 4 + 3 + 3 + 8 + 1 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177866218 + ... + 178546454.

It is an arithmetic number, because the mean of its divisors is an integer number (591934604625).

Almost surely, 2^{121222543381632} is an apocalyptic number.

121222543381632 is a gapful number since it is divisible by the number (12) 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 121222543381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227302888176000).

121222543381632 is an abundant number, since it is smaller than the sum of its proper divisors (333383232970368).

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

121222543381632 is a wasteful number, since it uses less digits than its factorization.

121222543381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680330 (or 680301 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 121222543381632 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, five hundred forty-three million, three hundred eighty-one thousand, six hundred thirty-two".