121012022112 has 48 divisors (see below), whose sum is σ = 317745533952. Its totient is φ = 40326042240.

The previous prime is 121012022111. The next prime is 121012022113. The reversal of 121012022112 is 211220210121.

It is an interprime number because it is at equal distance from previous prime (121012022111) and next prime (121012022113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×121012022112⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121012022091 and 121012022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171537 + ... + 521007.

It is an arithmetic number, because the mean of its divisors is an integer number (6619698624).

Almost surely, 2^121012022112 is an apocalyptic number.

121012022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121012022112 is an abundant number, since it is smaller than the sum of its proper divisors (196733511840).

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

121012022112 is a wasteful number, since it uses less digits than its factorization.

121012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353091 (or 353083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121012022112 its reverse (211220210121), we get a palindrome (332232232233).

The spelling of 121012022112 in words is "one hundred twenty-one billion, twelve million, twenty-two thousand, one hundred twelve".