1122104214231 has 128 divisors (see below), whose sum is σ = 2077271433216. Its totient is φ = 520035310080.

The previous prime is 1122104214223. The next prime is 1122104214263. The reversal of 1122104214231 is 1324124012211.

It is not a de Polignac number, because 1122104214231 - 2³ = 1122104214223 is a prime.

It is a super-2 number, since 2×1122104214231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122104214221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10611040 + ... + 10716266.

It is an arithmetic number, because the mean of its divisors is an integer number (16228683072).

Almost surely, 2^{1122104214231} is an apocalyptic number.

1122104214231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122104214231 is a deficient number, since it is larger than the sum of its proper divisors (955167218985).

1122104214231 is a wasteful number, since it uses less digits than its factorization.

1122104214231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105381.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1122104214231 its reverse (1324124012211), we get a palindrome (2446228226442).

The spelling of 1122104214231 in words is "one trillion, one hundred twenty-two billion, one hundred four million, two hundred fourteen thousand, two hundred thirty-one".