121220956224 has 189 divisors, whose sum is σ = 353574962013. Its totient is φ = 39707864064.

The previous prime is 121220956151. The next prime is 121220956243. The reversal of 121220956224 is 422659022121.

The square root of 121220956224 is 348168.

It is a perfect power (a square), and thus also a powerful number.

121220956224 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 20 + 9 + 5 + 622 + 4 = 666.

121220956224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23276994624 + 97943961600 = 152568^2 + 312960^2 .

It is a super-4 number, since 4×121220956224⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 743686767 + ... + 743686929.

Almost surely, 2^121220956224 is an apocalyptic number.

121220956224 is the 348168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220956224

121220956224 is an abundant number, since it is smaller than the sum of its proper divisors (232354005789).

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

121220956224 is an frugal number, since it uses more digits than its factorization.

121220956224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 121220956224 by its sum of digits (36), we get a square (4363954424064 = 2089008²).

121220956224 divided by its sum of digits (36) gives a square (3367248784 = 58028²).

Adding to 121220956224 its reverse (422659022121), we get a palindrome (543879978345).

It can be divided in two parts, 121220 and 956224, that added together give a square (1077444 = 1038²).

The spelling of 121220956224 in words is "one hundred twenty-one billion, two hundred twenty million, nine hundred fifty-six thousand, two hundred twenty-four".