121963607280 has 320 divisors, whose sum is σ = 455158725120. Its totient is φ = 29898215424.

The previous prime is 121963607273. The next prime is 121963607287. The reversal of 121963607280 is 82706369121.

121963607280 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 6 + 360 + 7 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (121963607273) and next prime (121963607287).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121963607287) 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 63 ways as a sum of consecutive naturals, for example, 1540339 + ... + 1617581.

It is an arithmetic number, because the mean of its divisors is an integer number (1422371016).

Almost surely, 2^121963607280 is an apocalyptic number.

121963607280 is a gapful number since it is divisible by the number (10) 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 121963607280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227579362560).

121963607280 is an abundant number, since it is smaller than the sum of its proper divisors (333195117840).

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

121963607280 is a wasteful number, since it uses less digits than its factorization.

121963607280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77325 (or 77313 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 121963607280 in words is "one hundred twenty-one billion, nine hundred sixty-three million, six hundred seven thousand, two hundred eighty".