121112121202272 has 144 divisors (see below), whose sum is σ = 345127445208000. Its totient is φ = 40286926713600.

The previous prime is 121112121202201. The next prime is 121112121202273. The reversal of 121112121202272 is 272202121211121.

121112121202272 is a `hidden beast` number, since 1 + 211 + 1 + 212 + 12 + 0 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121112121202272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112121202273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186219747 + ... + 3186257757.

It is an arithmetic number, because the mean of its divisors is an integer number (2396718369500).

Almost surely, 2^{121112121202272} is an apocalyptic number.

121112121202272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121112121202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172563722604000).

121112121202272 is an abundant number, since it is smaller than the sum of its proper divisors (224015324005728).

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

121112121202272 is a wasteful number, since it uses less digits than its factorization.

121112121202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60697 (or 60686 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 121112121202272 its reverse (272202121211121), we get a palindrome (393314242413393).

The spelling of 121112121202272 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred two thousand, two hundred seventy-two".