2012011221120 has 128 divisors (see below), whose sum is σ = 6634433736000. Its totient is φ = 518035058688.

The previous prime is 2012011221107. The next prime is 2012011221137. The reversal of 2012011221120 is 211221102102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2012011221120³ (a number of 38 digits) contains 333 as substring.

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 2012011221120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18011950 + ... + 18123309.

Almost surely, 2^{2012011221120} is an apocalyptic number.

2012011221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012011221120 is an abundant number, since it is smaller than the sum of its proper divisors (4622422514880).

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

2012011221120 is a wasteful number, since it uses less digits than its factorization.

2012011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36135310 (or 36135298 counting only the distinct ones).

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

Adding to 2012011221120 its reverse (211221102102), we get a palindrome (2223232323222).

The spelling of 2012011221120 in words is "two trillion, twelve billion, eleven million, two hundred twenty-one thousand, one hundred twenty".