1012202211120 has 80 divisors (see below), whose sum is σ = 3191010405120. Its totient is φ = 265345660672.

The previous prime is 1012202211107. The next prime is 1012202211121. The reversal of 1012202211120 is 211122022101.

It is a tau number, because it is divible by the number of its divisors (80).

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 1012202211120.

It is not an unprimeable number, because it can be changed into a prime (1012202211121) 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, 35727444 + ... + 35755763.

It is an arithmetic number, because the mean of its divisors is an integer number (39887630064).

Almost surely, 2^{1012202211120} is an apocalyptic number.

1012202211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012202211120 is an abundant number, since it is smaller than the sum of its proper divisors (2178808194000).

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

1012202211120 is a wasteful number, since it uses less digits than its factorization.

1012202211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71483282 (or 71483276 counting only the distinct ones).

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

Adding to 1012202211120 its reverse (211122022101), we get a palindrome (1223324233221).

The spelling of 1012202211120 in words is "one trillion, twelve billion, two hundred two million, two hundred eleven thousand, one hundred twenty".