121145161280 has 672 divisors, whose sum is σ = 367764364800. Its totient is φ = 37638881280.

The previous prime is 121145161273. The next prime is 121145161301. The reversal of 121145161280 is 82161541121.

It is a super-3 number, since 3×121145161280³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506883401 + ... + 506883639.

It is an arithmetic number, because the mean of its divisors is an integer number (547268400).

Almost surely, 2^121145161280 is an apocalyptic number.

121145161280 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 121145161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183882182400).

121145161280 is an abundant number, since it is smaller than the sum of its proper divisors (246619203520).

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

121145161280 is a wasteful number, since it uses less digits than its factorization.

121145161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 121145161280 in words is "one hundred twenty-one billion, one hundred forty-five million, one hundred sixty-one thousand, two hundred eighty".