34012122144 has 192 divisors, whose sum is σ = 119875230720. Its totient is φ = 8154731520.

The previous prime is 34012122143. The next prime is 34012122149. The reversal of 34012122144 is 44122121043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34012122143) 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, 80874 + ... + 273065.

It is an arithmetic number, because the mean of its divisors is an integer number (624350160).

Almost surely, 2^34012122144 is an apocalyptic number.

It is an amenable number.

34012122144 is an abundant number, since it is smaller than the sum of its proper divisors (85863108576).

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

34012122144 is a wasteful number, since it uses less digits than its factorization.

34012122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353983 (or 353975 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34012122144 its reverse (44122121043), we get a palindrome (78134243187).

The spelling of 34012122144 in words is "thirty-four billion, twelve million, one hundred twenty-two thousand, one hundred forty-four".