242100120000 has 560 divisors, whose sum is σ = 840264654240. Its totient is φ = 61415424000.

The previous prime is 242100119957. The next prime is 242100120011. The reversal of 242100120000 is 21001242.

It is a super-2 number, since 2×242100120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254039524 + ... + 254040476.

Almost surely, 2^242100120000 is an apocalyptic number.

242100120000 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 242100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420132327120).

242100120000 is an abundant number, since it is smaller than the sum of its proper divisors (598164534240).

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

242100120000 is an equidigital number, since it uses as much as digits as its factorization.

242100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 242100120000 its reverse (21001242), we get a palindrome (242121121242).

The spelling of 242100120000 in words is "two hundred forty-two billion, one hundred million, one hundred twenty thousand".