121559040 has 144 divisors (see below), whose sum is σ = 421621200. Its totient is φ = 32391168.

The previous prime is 121559021. The next prime is 121559041. The reversal of 121559040 is 40955121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 121558995 and 121559013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121559041) 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, 91501 + ... + 92819.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^121559040 is an apocalyptic number.

121559040 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 121559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210810600).

121559040 is an abundant number, since it is smaller than the sum of its proper divisors (300062160).

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

121559040 is a wasteful number, since it uses less digits than its factorization.

121559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 121559040 is about 11025.3816260481. The cubic root of 121559040 is about 495.3692989461.

The spelling of 121559040 in words is "one hundred twenty-one million, five hundred fifty-nine thousand, forty".