121020192288 has 90 divisors (see below), whose sum is σ = 355969119429. Its totient is φ = 40334160384.

The previous prime is 121020192283. The next prime is 121020192329. The reversal of 121020192288 is 882291020121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 100521970704 + 20498221584 = 317052^2 + 143172^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=245988.

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

It is not an unprimeable number, because it can be changed into a prime (121020192283) 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 14 ways as a sum of consecutive naturals, for example, 17707720 + ... + 17714552.

Almost surely, 2^121020192288 is an apocalyptic number.

121020192288 is a gapful number since it is divisible by the number (18) 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 121020192288

121020192288 is an abundant number, since it is smaller than the sum of its proper divisors (234948927141).

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

121020192288 is an frugal number, since it uses more digits than its factorization.

121020192288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 121020192288 in words is "one hundred twenty-one billion, twenty million, one hundred ninety-two thousand, two hundred eighty-eight".