121965703680 has 160 divisors (see below), whose sum is σ = 403354987200. Its totient is φ = 31402606592.

The previous prime is 121965703661. The next prime is 121965703681. The reversal of 121965703680 is 86307569121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (121965703681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51090 + ... + 496529.

It is an arithmetic number, because the mean of its divisors is an integer number (2520968670).

Almost surely, 2^121965703680 is an apocalyptic number.

121965703680 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 121965703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201677493600).

121965703680 is an abundant number, since it is smaller than the sum of its proper divisors (281389283520).

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

121965703680 is an equidigital number, since it uses as much as digits as its factorization.

121965703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547674 (or 547658 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 121965703680 in words is "one hundred twenty-one billion, nine hundred sixty-five million, seven hundred three thousand, six hundred eighty".