120202012201120 has 96 divisors (see below), whose sum is σ = 284913625122000. Its totient is φ = 47922494570496.

The previous prime is 120202012201111. The next prime is 120202012201129. The reversal of 120202012201120 is 21102210202021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120202012201111) and next prime (120202012201129).

It can be written as a sum of positive squares in 8 ways, for example, as 2878193682576 + 117323818518544 = 1696524^2 + 10831612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120202012201094 and 120202012201103.

It is not an unprimeable number, because it can be changed into a prime (120202012201129) 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, 66421236 + ... + 68206924.

Almost surely, 2^{120202012201120} is an apocalyptic number.

120202012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202012201120 is an abundant number, since it is smaller than the sum of its proper divisors (164711612920880).

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

120202012201120 is a wasteful number, since it uses less digits than its factorization.

120202012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787090 (or 1787082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120202012201120 its reverse (21102210202021), we get a palindrome (141304222403141).

The spelling of 120202012201120 in words is "one hundred twenty trillion, two hundred two billion, twelve million, two hundred one thousand, one hundred twenty".