121223760 has 160 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 27216384.

The previous prime is 121223759. The next prime is 121223761. The reversal of 121223760 is 67322121.

It is an interprime number because it is at equal distance from previous prime (121223759) and next prime (121223761).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121223760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121223761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98509 + ... + 99731.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2^121223760 is an apocalyptic number.

121223760 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 121223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

121223760 is an abundant number, since it is smaller than the sum of its proper divisors (315891120).

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

121223760 is a wasteful number, since it uses less digits than its factorization.

121223760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 121223760 is about 11010.1662112795. The cubic root of 121223760 is about 494.9134426756.

Adding to 121223760 its reverse (67322121), we get a palindrome (188545881).

The spelling of 121223760 in words is "one hundred twenty-one million, two hundred twenty-three thousand, seven hundred sixty".