4012122121040 has 160 divisors (see below), whose sum is σ = 10713194490240. Its totient is φ = 1381985280000.

The previous prime is 4012122121027. The next prime is 4012122121043. The reversal of 4012122121040 is 401212212104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012122121043) 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, 217367492 + ... + 217385948.

It is an arithmetic number, because the mean of its divisors is an integer number (66957465564).

Almost surely, 2^{4012122121040} is an apocalyptic number.

4012122121040 is a gapful number since it is divisible by the number (40) 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 4012122121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356597245120).

4012122121040 is an abundant number, since it is smaller than the sum of its proper divisors (6701072369200).

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

4012122121040 is a wasteful number, since it uses less digits than its factorization.

4012122121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31501 (or 31495 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4012122121040 its reverse (401212212104), we get a palindrome (4413334333144).

It can be divided in two parts, 401212 and 2121040, that added together give a palindrome (2522252).

The spelling of 4012122121040 in words is "four trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, forty".