121444763959204 has 135 divisors (see below), whose sum is σ = 250040584086657. Its totient is φ = 51609438627264.

The previous prime is 121444763959139. The next prime is 121444763959231. The reversal of 121444763959204 is 402959367444121.

The square root of 121444763959204 is 11020198.

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

It can be written as a sum of positive squares in only one way, i.e., 106896947453604 + 14547816505600 = 10339098^2 + 3814160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150117136752 + ... + 150117137560.

Almost surely, 2^{121444763959204} is an apocalyptic number.

121444763959204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121444763959204 is the 11020198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121444763959204

121444763959204 is an abundant number, since it is smaller than the sum of its proper divisors (128595820127453).

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

121444763959204 is an frugal number, since it uses more digits than its factorization.

121444763959204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 121444763959204 in words is "one hundred twenty-one trillion, four hundred forty-four billion, seven hundred sixty-three million, nine hundred fifty-nine thousand, two hundred four".