121749480 has 160 divisors (see below), whose sum is σ = 417522600. Its totient is φ = 31809024.

The previous prime is 121749457. The next prime is 121749491. The reversal of 121749480 is 84947121.

121749480 is a `hidden beast` number, since 1 + 2 + 174 + 9 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87946884 + 33802596 = 9378^2 + 5814^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171366 + ... + 172074.

Almost surely, 2^121749480 is an apocalyptic number.

121749480 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 121749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208761300).

121749480 is an abundant number, since it is smaller than the sum of its proper divisors (295773120).

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

121749480 is a wasteful number, since it uses less digits than its factorization.

121749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 121749480 is about 11034.0146818826. The cubic root of 121749480 is about 495.6278534375.

The spelling of 121749480 in words is "one hundred twenty-one million, seven hundred forty-nine thousand, four hundred eighty".