121422312144432 has 200 divisors, whose sum is σ = 378483527493456. Its totient is φ = 37358841337344.

The previous prime is 121422312144421. The next prime is 121422312144433. The reversal of 121422312144432 is 234441213224121.

121422312144432 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 2 + 3 + 1 + 214 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121422312144433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357462738 + ... + 357802254.

Almost surely, 2^{121422312144432} is an apocalyptic number.

121422312144432 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 121422312144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189241763746728).

121422312144432 is an abundant number, since it is smaller than the sum of its proper divisors (257061215349024).

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

121422312144432 is a wasteful number, since it uses less digits than its factorization.

121422312144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360777 (or 360762 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 121422312144432 its reverse (234441213224121), we get a palindrome (355863525368553).

The spelling of 121422312144432 in words is "one hundred twenty-one trillion, four hundred twenty-two billion, three hundred twelve million, one hundred forty-four thousand, four hundred thirty-two".