13670121474720 has 384 divisors, whose sum is σ = 49149563097600. Its totient is φ = 3546047102976.

The previous prime is 13670121474707. The next prime is 13670121474733. The reversal of 13670121474720 is 2747412107631.

13670121474720 is a `hidden beast` number, since 1 + 36 + 7 + 0 + 1 + 2 + 147 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13670121474707) and next prime (13670121474733).

It is a super-2 number, since 2×13670121474720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127984821 + ... + 1127996939.

It is an arithmetic number, because the mean of its divisors is an integer number (127993653900).

Almost surely, 2^{13670121474720} is an apocalyptic number.

13670121474720 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 13670121474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24574781548800).

13670121474720 is an abundant number, since it is smaller than the sum of its proper divisors (35479441622880).

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

13670121474720 is a wasteful number, since it uses less digits than its factorization.

13670121474720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19237 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13670121474720 in words is "thirteen trillion, six hundred seventy billion, one hundred twenty-one million, four hundred seventy-four thousand, seven hundred twenty".