7220613120 has 416 divisors, whose sum is σ = 26823493632. Its totient is φ = 1624375296.

The previous prime is 7220613109. The next prime is 7220613131. The reversal of 7220613120 is 213160227.

It is an interprime number because it is at equal distance from previous prime (7220613109) and next prime (7220613131).

It is a super-2 number, since 2×7220613120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 44298159 + ... + 44298321.

It is an arithmetic number, because the mean of its divisors is an integer number (64479552).

Almost surely, 2^7220613120 is an apocalyptic number.

7220613120 is a gapful number since it is divisible by the number (70) 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 7220613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411746816).

7220613120 is an abundant number, since it is smaller than the sum of its proper divisors (19602880512).

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

7220613120 is a wasteful number, since it uses less digits than its factorization.

7220613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7220613120 is about 84974.1909052390. The cubic root of 7220613120 is about 1932.8197679366.

Adding to 7220613120 its reverse (213160227), we get a palindrome (7433773347).

The spelling of 7220613120 in words is "seven billion, two hundred twenty million, six hundred thirteen thousand, one hundred twenty".