1221018457120 has 192 divisors, whose sum is σ = 3624777547776. Its totient is φ = 377580026880.

The previous prime is 1221018457097. The next prime is 1221018457121. The reversal of 1221018457120 is 217548101221.

It is not an unprimeable number, because it can be changed into a prime (1221018457121) 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, 1174449 + ... + 1954831.

It is an arithmetic number, because the mean of its divisors is an integer number (18879049728).

Almost surely, 2^{1221018457120} is an apocalyptic number.

1221018457120 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 1221018457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812388773888).

1221018457120 is an abundant number, since it is smaller than the sum of its proper divisors (2403759090656).

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

1221018457120 is a wasteful number, since it uses less digits than its factorization.

1221018457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780543 (or 780535 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 1221018457120 in words is "one trillion, two hundred twenty-one billion, eighteen million, four hundred fifty-seven thousand, one hundred twenty".