2420121600000 has 1224 divisors, whose sum is σ = 9504087183864. Its totient is φ = 589824000000.

The previous prime is 2420121599999. The next prime is 2420121600079. The reversal of 2420121600000 is 61210242.

2420121600000 is a `hidden beast` number, since 2 + 42 + 0 + 1 + 21 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2375839973376 + 44281626624 = 1541376^2 + 210432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23961599950 + ... + 23961600050.

It is an arithmetic number, because the mean of its divisors is an integer number (7764777111).

Almost surely, 2^{2420121600000} is an apocalyptic number.

2420121600000 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 2420121600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752043591932).

2420121600000 is an abundant number, since it is smaller than the sum of its proper divisors (7083965583864).

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

2420121600000 is an frugal number, since it uses more digits than its factorization.

2420121600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2420121600000 its reverse (61210242), we get a palindrome (2420182810242).

The spelling of 2420121600000 in words is "two trillion, four hundred twenty billion, one hundred twenty-one million, six hundred thousand".