121144120240 has 320 divisors, whose sum is σ = 358935276672. Its totient is φ = 37335859200.

The previous prime is 121144120211. The next prime is 121144120261. The reversal of 121144120240 is 42021441121.

It is a super-3 number, since 3×121144120240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 7966084 + ... + 7981276.

Almost surely, 2^121144120240 is an apocalyptic number.

121144120240 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 121144120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179467638336).

121144120240 is an abundant number, since it is smaller than the sum of its proper divisors (237791156432).

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

121144120240 is a wasteful number, since it uses less digits than its factorization.

121144120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 121144120240 its reverse (42021441121), we get a palindrome (163165561361).

The spelling of 121144120240 in words is "one hundred twenty-one billion, one hundred forty-four million, one hundred twenty thousand, two hundred forty".