1001212221120 has 224 divisors, whose sum is σ = 3266085302208. Its totient is φ = 259668836352.

The previous prime is 1001212221043. The next prime is 1001212221127. The reversal of 1001212221120 is 211222121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001212221120.

It is not an unprimeable number, because it can be changed into a prime (1001212221127) 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, 128471944 + ... + 128479736.

Almost surely, 2^{1001212221120} is an apocalyptic number.

1001212221120 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 1001212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633042651104).

1001212221120 is an abundant number, since it is smaller than the sum of its proper divisors (2264873081088).

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

1001212221120 is a wasteful number, since it uses less digits than its factorization.

1001212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11467 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001212221120 its reverse (211222121001), we get a palindrome (1212434342121).

The spelling of 1001212221120 in words is "one trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".