40121122112104 has 32 divisors (see below), whose sum is σ = 82540301171040. Its totient is φ = 18131458225600.

The previous prime is 40121122112069. The next prime is 40121122112111.

40121122112104 is nontrivially palindromic in base 10.

40121122112104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317677962 + ... + 1317708409.

It is an arithmetic number, because the mean of its divisors is an integer number (2579384411595).

Almost surely, 2^{40121122112104} is an apocalyptic number.

40121122112104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40121122112104 is an abundant number, since it is smaller than the sum of its proper divisors (42419179058936).

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

40121122112104 is a wasteful number, since it uses less digits than its factorization.

40121122112104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635386561 (or 2635386557 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Multiplying 40121122112104 by its sum of digits (22), we get a palindrome (882664686466288).

It can be divided in two parts, 4012112 and 2112104, that added together give a palindrome (6124216).

The spelling of 40121122112104 in words is "forty trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred four".