121944830436 has 405 divisors, whose sum is σ = 377352566955. Its totient is φ = 33188538240.

The previous prime is 121944830431. The next prime is 121944830503. The reversal of 121944830436 is 634038449121.

The square root of 121944830436 is 349206.

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

121944830436 is a `hidden beast` number, since 121 + 9 + 4 + 483 + 0 + 43 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 506520036 + 121438310400 = 22506^2 + 348480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121944830391 and 121944830400.

It is not an unprimeable number, because it can be changed into a prime (121944830431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3295806210 + ... + 3295806246.

Almost surely, 2^121944830436 is an apocalyptic number.

121944830436 is the 349206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121944830436

121944830436 is an abundant number, since it is smaller than the sum of its proper divisors (255407736519).

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

121944830436 is a wasteful number, since it uses less digits than its factorization.

121944830436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 121944830436 in words is "one hundred twenty-one billion, nine hundred forty-four million, eight hundred thirty thousand, four hundred thirty-six".