401122123131132 has 288 divisors, whose sum is σ = 1116599366937600. Its totient is φ = 120666984961536.

The previous prime is 401122123131097. The next prime is 401122123131221. The reversal of 401122123131132 is 231131321221104.

401122123131132 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 2 + 212 + 313 + 1 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 401122123131096 and 401122123131105.

It is a congruent number.

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, 9324279919 + ... + 9324322937.

It is an arithmetic number, because the mean of its divisors is an integer number (3877081135200).

Almost surely, 2^{401122123131132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401122123131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558299683468800).

401122123131132 is an abundant number, since it is smaller than the sum of its proper divisors (715477243806468).

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

401122123131132 is a wasteful number, since it uses less digits than its factorization.

401122123131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45585 (or 45580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 401122123131132 its reverse (231131321221104), we get a palindrome (632253444352236).

The spelling of 401122123131132 in words is "four hundred one trillion, one hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-two".