121201010212112 has 80 divisors (see below), whose sum is σ = 244709308100400. Its totient is φ = 58082445066240.

The previous prime is 121201010212097. The next prime is 121201010212187. The reversal of 121201010212112 is 211212010102121.

It can be written as a sum of positive squares in 8 ways, for example, as 4482891536656 + 116718118675456 = 2117284^2 + 10803616^2 .

It is a super-2 number, since 2×121201010212112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34115912 + ... + 37500632.

It is an arithmetic number, because the mean of its divisors is an integer number (3058866351255).

Almost surely, 2^{121201010212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201010212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122354654050200).

121201010212112 is an abundant number, since it is smaller than the sum of its proper divisors (123508297888288).

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

121201010212112 is a wasteful number, since it uses less digits than its factorization.

121201010212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385324 (or 3385318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121201010212112 its reverse (211212010102121), we get a palindrome (332413020314233).

The spelling of 121201010212112 in words is "one hundred twenty-one trillion, two hundred one billion, ten million, two hundred twelve thousand, one hundred twelve".