6213261120 has 224 divisors, whose sum is σ = 21826215936. Its totient is φ = 1484851200.

The previous prime is 6213261097. The next prime is 6213261139. The reversal of 6213261120 is 211623126.

It is a super-2 number, since 2×6213261120² = 77209227490607308800, which 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, 745617 + ... + 753903.

It is an arithmetic number, because the mean of its divisors is an integer number (97438464).

Almost surely, 2^6213261120 is an apocalyptic number.

6213261120 is a gapful number since it is divisible by the number (60) 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 6213261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913107968).

6213261120 is an abundant number, since it is smaller than the sum of its proper divisors (15612954816).

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

6213261120 is a wasteful number, since it uses less digits than its factorization.

6213261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6213261120 is about 78824.2419563931. The cubic root of 6213261120 is about 1838.3993956979.

Adding to 6213261120 its reverse (211623126), we get a palindrome (6424884246).

The spelling of 6213261120 in words is "six billion, two hundred thirteen million, two hundred sixty-one thousand, one hundred twenty".