122000001000031 has 8 divisors (see below), whose sum is σ = 152103897350784. Its totient is φ = 95064935844120.

The previous prime is 122000000999999. The next prime is 122000001000091. The reversal of 122000001000031 is 130000100000221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122000001000031 - 2⁵ = 122000000999999 is a prime.

It is a super-2 number, since 2×122000001000031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000000999981 and 122000001000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000001000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792207798625 + ... + 792207798778.

It is an arithmetic number, because the mean of its divisors is an integer number (19012987168848).

Almost surely, 2^{122000001000031} is an apocalyptic number.

122000001000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122000001000031 is a deficient number, since it is larger than the sum of its proper divisors (30103896350753).

122000001000031 is a wasteful number, since it uses less digits than its factorization.

122000001000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584415597421.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 122000001000031 its reverse (130000100000221), we get a palindrome (252000101000252).

The spelling of 122000001000031 in words is "one hundred twenty-two trillion, one million, thirty-one", and thus it is an aban number.