401122121221104 has 160 divisors (see below), whose sum is σ = 1053606339432000. Its totient is φ = 131483696332800.

The previous prime is 401122121221091. The next prime is 401122121221109.

401122121221104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401122121221104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401122121221109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14077903882 + ... + 14077932374.

It is an arithmetic number, because the mean of its divisors is an integer number (6585039621450).

Almost surely, 2^{401122121221104} 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 401122121221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526803169716000).

401122121221104 is an abundant number, since it is smaller than the sum of its proper divisors (652484218210896).

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

401122121221104 is a wasteful number, since it uses less digits than its factorization.

401122121221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48243 (or 48237 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 401122121221104 in words is "four hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred four".