2042212412000 has 192 divisors, whose sum is σ = 5321726137728. Its totient is φ = 768556800000.

The previous prime is 2042212411997. The next prime is 2042212412003. The reversal of 2042212412000 is 2142122402.

It is an interprime number because it is at equal distance from previous prime (2042212411997) and next prime (2042212412003).

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 (2042212412003) 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, 5430050 + ... + 5793950.

It is an arithmetic number, because the mean of its divisors is an integer number (27717323634).

Almost surely, 2^{2042212412000} is an apocalyptic number.

2042212412000 is a gapful number since it is divisible by the number (20) 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 2042212412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660863068864).

2042212412000 is an abundant number, since it is smaller than the sum of its proper divisors (3279513725728).

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

2042212412000 is a wasteful number, since it uses less digits than its factorization.

2042212412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364010 (or 363992 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2042212412000 its reverse (2142122402), we get a palindrome (2044354534402).

The spelling of 2042212412000 in words is "two trillion, forty-two billion, two hundred twelve million, four hundred twelve thousand".