2220122424420 has 240 divisors, whose sum is σ = 7046725593600. Its totient is φ = 585059397120.

The previous prime is 2220122424409. The next prime is 2220122424437. The reversal of 2220122424420 is 244242210222.

2220122424420 is a `hidden beast` number, since 2 + 220 + 12 + 2 + 4 + 2 + 4 + 420 = 666.

It is a super-2 number, since 2×2220122424420² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 383371725 + ... + 383377515.

It is an arithmetic number, because the mean of its divisors is an integer number (29361356640).

Almost surely, 2^{2220122424420} is an apocalyptic number.

2220122424420 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 2220122424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523362796800).

2220122424420 is an abundant number, since it is smaller than the sum of its proper divisors (4826603169180).

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

2220122424420 is a wasteful number, since it uses less digits than its factorization.

2220122424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2220122424420 its reverse (244242210222), we get a palindrome (2464364634642).

The spelling of 2220122424420 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, four hundred twenty-four thousand, four hundred twenty".