13170225120 has 192 divisors, whose sum is σ = 45031956480. Its totient is φ = 3216181248.

The previous prime is 13170225071. The next prime is 13170225127. The reversal of 13170225120 is 2152207131.

It is a super-2 number, since 2×13170225120² (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 not an unprimeable number, because it can be changed into a prime (13170225127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784171 + ... + 800789.

It is an arithmetic number, because the mean of its divisors is an integer number (234541440).

Almost surely, 2^13170225120 is an apocalyptic number.

13170225120 is a gapful number since it is divisible by the number (10) 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 13170225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515978240).

13170225120 is an abundant number, since it is smaller than the sum of its proper divisors (31861731360).

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

13170225120 is a wasteful number, since it uses less digits than its factorization.

13170225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16777 (or 16769 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 13170225120 in words is "thirteen billion, one hundred seventy million, two hundred twenty-five thousand, one hundred twenty".