42122040000000 has 640 divisors, whose sum is σ = 141149662093440. Its totient is φ = 11162112000000.

The previous prime is 42122039999989. The next prime is 42122040000043. The reversal of 42122040000000 is 4022124.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20759998986 + ... + 20760001014.

It is an arithmetic number, because the mean of its divisors is an integer number (220546347021).

Almost surely, 2^{42122040000000} is an apocalyptic number.

42122040000000 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 42122040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70574831046720).

42122040000000 is an abundant number, since it is smaller than the sum of its proper divisors (99027622093440).

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

42122040000000 is an frugal number, since it uses more digits than its factorization.

42122040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42122040000000 its reverse (4022124), we get a palindrome (42122044022124).

The spelling of 42122040000000 in words is "forty-two trillion, one hundred twenty-two billion, forty million", and thus it is an aban number.