122011101121000 has 256 divisors, whose sum is σ = 363508943616000. Its totient is φ = 37282966963200.

The previous prime is 122011101120991. The next prime is 122011101121009. The reversal of 122011101121000 is 121101110221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122011101120991) and next prime (122011101121009).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (122011101121009) 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 63 ways as a sum of consecutive naturals, for example, 20477920 + ... + 25755919.

It is an arithmetic number, because the mean of its divisors is an integer number (1419956811000).

Almost surely, 2^{122011101121000} is an apocalyptic number.

122011101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011101121000 is an abundant number, since it is smaller than the sum of its proper divisors (241497842495000).

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

122011101121000 is a wasteful number, since it uses less digits than its factorization.

122011101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46233909 (or 46233895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122011101121000 its reverse (121101110221), we get a palindrome (122132202231221).

The spelling of 122011101121000 in words is "one hundred twenty-two trillion, eleven billion, one hundred one million, one hundred twenty-one thousand".