122132133313029 has 128 divisors (see below), whose sum is σ = 209834649600000. Its totient is φ = 68764175520768.

The previous prime is 122132133313007. The next prime is 122132133313109. The reversal of 122132133313029 is 920313331231221.

122132133313029 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 2 + 13 + 331 + 302 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-122132133313029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122132133312984 and 122132133313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132133313129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22537759482 + ... + 22537764900.

It is an arithmetic number, because the mean of its divisors is an integer number (1639333200000).

Almost surely, 2^{122132133313029} is an apocalyptic number.

It is an amenable number.

122132133313029 is a deficient number, since it is larger than the sum of its proper divisors (87702516286971).

122132133313029 is a wasteful number, since it uses less digits than its factorization.

122132133313029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 122132133313029 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-nine".