121280864800 has 36 divisors (see below), whose sum is σ = 296076913146. Its totient is φ = 48512345600.

The previous prime is 121280864777. The next prime is 121280864801. The reversal of 121280864800 is 8468082121.

It can be written as a sum of positive squares in 3 ways, for example, as 46075481104 + 75205383696 = 214652^2 + 274236^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (121280864801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75799741 + ... + 75801340.

Almost surely, 2^121280864800 is an apocalyptic number.

121280864800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121280864800 is an abundant number, since it is smaller than the sum of its proper divisors (174796048346).

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

121280864800 is a wasteful number, since it uses less digits than its factorization.

121280864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151601101 (or 151601088 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 121280864800 in words is "one hundred twenty-one billion, two hundred eighty million, eight hundred sixty-four thousand, eight hundred".