401122001412132 has 384 divisors, whose sum is σ = 1274487474290688. Its totient is φ = 94809176179200.

The previous prime is 401122001412109. The next prime is 401122001412233. The reversal of 401122001412132 is 231214100221104.

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, 12658866393 + ... + 12658898079.

It is an arithmetic number, because the mean of its divisors is an integer number (3318977797632).

Almost surely, 2^{401122001412132} is an apocalyptic number.

401122001412132 is a gapful number since it is divisible by the number (42) 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 401122001412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637243737145344).

401122001412132 is an abundant number, since it is smaller than the sum of its proper divisors (873365472878556).

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

401122001412132 is a wasteful number, since it uses less digits than its factorization.

401122001412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46639 (or 46637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 401122001412132 its reverse (231214100221104), we get a palindrome (632336101633236).

The spelling of 401122001412132 in words is "four hundred one trillion, one hundred twenty-two billion, one million, four hundred twelve thousand, one hundred thirty-two".