242213102120 has 128 divisors (see below), whose sum is σ = 634800291840. Its totient is φ = 82288631040.

The previous prime is 242213102099. The next prime is 242213102147. The reversal of 242213102120 is 21201312242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242213102092 and 242213102101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156857 + ... + 713463.

It is an arithmetic number, because the mean of its divisors is an integer number (4959377280).

Almost surely, 2^242213102120 is an apocalyptic number.

242213102120 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 242213102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317400145920).

242213102120 is an abundant number, since it is smaller than the sum of its proper divisors (392587189720).

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

242213102120 is a wasteful number, since it uses less digits than its factorization.

242213102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556695 (or 556691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 242213102120 its reverse (21201312242), we get a palindrome (263414414362).

The spelling of 242213102120 in words is "two hundred forty-two billion, two hundred thirteen million, one hundred two thousand, one hundred twenty".