110004142121432 has 128 divisors (see below), whose sum is σ = 239497534080000. Its totient is φ = 46916151699456.

The previous prime is 110004142121417. The next prime is 110004142121453. The reversal of 110004142121432 is 234121241400011.

It is a super-2 number, since 2×110004142121432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22801319 + ... + 27201257.

It is an arithmetic number, because the mean of its divisors is an integer number (1871074485000).

Almost surely, 2^{110004142121432} 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 110004142121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119748767040000).

110004142121432 is an abundant number, since it is smaller than the sum of its proper divisors (129493391958568).

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

110004142121432 is a wasteful number, since it uses less digits than its factorization.

110004142121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400233 (or 4400229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 110004142121432 its reverse (234121241400011), we get a palindrome (344125383521443).

The spelling of 110004142121432 in words is "one hundred ten trillion, four billion, one hundred forty-two million, one hundred twenty-one thousand, four hundred thirty-two".