234134211231120 has 80 divisors (see below), whose sum is σ = 733298694629760. Its totient is φ = 61792121720832.

The previous prime is 234134211231097. The next prime is 234134211231127. The reversal of 234134211231120 is 21132112431432.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (234134211231127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5028632460 + ... + 5028679019.

It is an arithmetic number, because the mean of its divisors is an integer number (9166233682872).

Almost surely, 2^{234134211231120} is an apocalyptic number.

234134211231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234134211231120 is an abundant number, since it is smaller than the sum of its proper divisors (499164483398640).

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

234134211231120 is a wasteful number, since it uses less digits than its factorization.

234134211231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057311592 (or 10057311586 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 234134211231120 its reverse (21132112431432), we get a palindrome (255266323662552).

The spelling of 234134211231120 in words is "two hundred thirty-four trillion, one hundred thirty-four billion, two hundred eleven million, two hundred thirty-one thousand, one hundred twenty".