120430110311406 has 120 divisors (see below), whose sum is σ = 314197454058840. Its totient is φ = 34377119588448.

The previous prime is 120430110311353. The next prime is 120430110311419. The reversal of 120430110311406 is 604113011034021.

120430110311406 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 301 + 1 + 0 + 311 + 40 + 6 = 666.

It is a super-2 number, since 2×120430110311406² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120430110311406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1736005 + ... + 15616463.

It is an arithmetic number, because the mean of its divisors is an integer number (2618312117157).

Almost surely, 2^{120430110311406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120430110311406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157098727029420).

120430110311406 is an abundant number, since it is smaller than the sum of its proper divisors (193767343747434).

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

120430110311406 is a wasteful number, since it uses less digits than its factorization.

120430110311406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881580 (or 13881564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 120430110311406 its reverse (604113011034021), we get a palindrome (724543121345427).

The spelling of 120430110311406 in words is "one hundred twenty trillion, four hundred thirty billion, one hundred ten million, three hundred eleven thousand, four hundred six".