122333202021132 has 384 divisors, whose sum is σ = 342616780800000. Its totient is φ = 37654542503424.

The previous prime is 122333202021089. The next prime is 122333202021157. The reversal of 122333202021132 is 231120202333221.

122333202021132 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 320 + 202 + 1 + 132 = 666.

It is a super-2 number, since 2×122333202021132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122333202021096 and 122333202021105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4353635619 + ... + 4353663717.

It is an arithmetic number, because the mean of its divisors is an integer number (892231200000).

Almost surely, 2^{122333202021132} is an apocalyptic number.

122333202021132 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 122333202021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171308390400000).

122333202021132 is an abundant number, since it is smaller than the sum of its proper divisors (220283578778868).

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

122333202021132 is a wasteful number, since it uses less digits than its factorization.

122333202021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28690 (or 28682 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122333202021132 its reverse (231120202333221), we get a palindrome (353453404354353).

The spelling of 122333202021132 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, two hundred two million, twenty-one thousand, one hundred thirty-two".