34403222142120 has 64 divisors (see below), whose sum is σ = 111148871541120. Its totient is φ = 8468485449984.

The previous prime is 34403222142083. The next prime is 34403222142143. The reversal of 34403222142120 is 2124122230443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11026672204 + ... + 11026675323.

It is an arithmetic number, because the mean of its divisors is an integer number (1736701117830).

Almost surely, 2^{34403222142120} is an apocalyptic number.

34403222142120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34403222142120 is an abundant number, since it is smaller than the sum of its proper divisors (76745649399000).

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

34403222142120 is a wasteful number, since it uses less digits than its factorization.

34403222142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22053347554 (or 22053347550 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34403222142120 its reverse (2124122230443), we get a palindrome (36527344372563).

The spelling of 34403222142120 in words is "thirty-four trillion, four hundred three billion, two hundred twenty-two million, one hundred forty-two thousand, one hundred twenty".