122123200323311 has 64 divisors (see below), whose sum is σ = 136837185698304. Its totient is φ = 108064233984000.

The previous prime is 122123200323301. The next prime is 122123200323323. The reversal of 122123200323311 is 113323002321221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122123200323311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123200323301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15456672461 + ... + 15456680361.

It is an arithmetic number, because the mean of its divisors is an integer number (2138081026536).

Almost surely, 2^{122123200323311} is an apocalyptic number.

122123200323311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122123200323311 is a deficient number, since it is larger than the sum of its proper divisors (14713985374993).

122123200323311 is a wasteful number, since it uses less digits than its factorization.

122123200323311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 122123200323311 its reverse (113323002321221), we get a palindrome (235446202644532).

The spelling of 122123200323311 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred million, three hundred twenty-three thousand, three hundred eleven".