121749408 has 72 divisors (see below), whose sum is σ = 377709696. Its totient is φ = 36892800.

The previous prime is 121749389. The next prime is 121749409. The reversal of 121749408 is 804947121.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (121749409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16048 + ... + 22383.

It is an arithmetic number, because the mean of its divisors is an integer number (5245968).

Almost surely, 2^121749408 is an apocalyptic number.

121749408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121749408 is an abundant number, since it is smaller than the sum of its proper divisors (255960288).

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

121749408 is a wasteful number, since it uses less digits than its factorization.

121749408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38458 (or 38447 counting only the distinct ones).

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

The square root of 121749408 is about 11034.0114192437. The cubic root of 121749408 is about 495.6277557363.

It can be divided in two parts, 1217 and 49408, that added together give a 4-th power (50625 = 15⁴).

The spelling of 121749408 in words is "one hundred twenty-one million, seven hundred forty-nine thousand, four hundred eight".