1012221011120 has 80 divisors (see below), whose sum is σ = 2575117681920. Its totient is φ = 366968236800.

The previous prime is 1012221011069. The next prime is 1012221011141. The reversal of 1012221011120 is 211101222101.

1012221011120 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 (80).

It is a super-3 number, since 3×1012221011120³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012221011095 and 1012221011104.

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, 1446260 + ... + 2028819.

It is an arithmetic number, because the mean of its divisors is an integer number (32188971024).

Almost surely, 2^{1012221011120} is an apocalyptic number.

1012221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012221011120 is an abundant number, since it is smaller than the sum of its proper divisors (1562896670800).

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

1012221011120 is a wasteful number, since it uses less digits than its factorization.

1012221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475434 (or 3475428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012221011120 its reverse (211101222101), we get a palindrome (1223322233221).

The spelling of 1012221011120 in words is "one trillion, twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty".