4122012040000 has 140 divisors (see below), whose sum is σ = 10243661607124. Its totient is φ = 1645189632000.

The previous prime is 4122012039997. The next prime is 4122012040051. The reversal of 4122012040000 is 402102214.

It can be written as a sum of positive squares in 10 ways, for example, as 1165207984704 + 2956804055296 = 1079448^2 + 1719536^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18167254 + ... + 18392746.

Almost surely, 2^{4122012040000} is an apocalyptic number.

4122012040000 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 4122012040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121830803562).

4122012040000 is an abundant number, since it is smaller than the sum of its proper divisors (6121649567124).

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

4122012040000 is an equidigital number, since it uses as much as digits as its factorization.

4122012040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225982 (or 225957 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4122012040000 its reverse (402102214), we get a palindrome (4122414142214).

The spelling of 4122012040000 in words is "four trillion, one hundred twenty-two billion, twelve million, forty thousand".