1001222121120 has 96 divisors (see below), whose sum is σ = 3396453524352. Its totient is φ = 246454674432.

The previous prime is 1001222121103. The next prime is 1001222121121. The reversal of 1001222121120 is 211212221001.

1001222121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 1001222121120.

It is not an unprimeable number, because it can be changed into a prime (1001222121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80219892 + ... + 80232371.

It is an arithmetic number, because the mean of its divisors is an integer number (35379724212).

Almost surely, 2^{1001222121120} is an apocalyptic number.

1001222121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001222121120 is an abundant number, since it is smaller than the sum of its proper divisors (2395231403232).

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

1001222121120 is a wasteful number, since it uses less digits than its factorization.

1001222121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160452294 (or 160452286 counting only the distinct ones).

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

Adding to 1001222121120 its reverse (211212221001), we get a palindrome (1212434342121).

The spelling of 1001222121120 in words is "one trillion, one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".