6122440242000 has 800 divisors, whose sum is σ = 23567874130944. Its totient is φ = 1528395264000.

The previous prime is 6122440241969. The next prime is 6122440242053. The reversal of 6122440242000 is 2420442216.

6122440242000 is a `hidden beast` number, since 6 + 12 + 2 + 440 + 2 + 4 + 200 + 0 = 666.

It is a super-2 number, since 2×6122440242000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 175104520 + ... + 175139480.

Almost surely, 2^{6122440242000} is an apocalyptic number.

6122440242000 is a gapful number since it is divisible by the number (60) 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 6122440242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11783937065472).

6122440242000 is an abundant number, since it is smaller than the sum of its proper divisors (17445433888944).

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

6122440242000 is a wasteful number, since it uses less digits than its factorization.

6122440242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35066 (or 35041 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 6122440242000 its reverse (2420442216), we get a palindrome (6124860684216).

The spelling of 6122440242000 in words is "six trillion, one hundred twenty-two billion, four hundred forty million, two hundred forty-two thousand".