121201080 has 256 divisors, whose sum is σ = 488678400. Its totient is φ = 23224320.

The previous prime is 121201051. The next prime is 121201117. The reversal of 121201080 is 80102121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119616 + ... + 120624.

It is an arithmetic number, because the mean of its divisors is an integer number (1908900).

Almost surely, 2^121201080 is an apocalyptic number.

121201080 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 121201080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244339200).

121201080 is an abundant number, since it is smaller than the sum of its proper divisors (367477320).

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

121201080 is a wasteful number, since it uses less digits than its factorization.

121201080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 121201080 is about 11009.1362058974. The cubic root of 121201080 is about 494.8825759628.

The spelling of 121201080 in words is "one hundred twenty-one million, two hundred one thousand, eighty".