202011012000120 has 128 divisors (see below), whose sum is σ = 608864480562240. Its totient is φ = 53618380677120.

The previous prime is 202011012000107. The next prime is 202011012000121. The reversal of 202011012000120 is 21000210110202.

It is a super-3 number, since 3×202011012000120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202011012000096 and 202011012000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011012000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24418080 + ... + 31626960.

Almost surely, 2^{202011012000120} is an apocalyptic number.

202011012000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202011012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304432240281120).

202011012000120 is an abundant number, since it is smaller than the sum of its proper divisors (406853468562120).

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

202011012000120 is a wasteful number, since it uses less digits than its factorization.

202011012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209985 (or 7209981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202011012000120 its reverse (21000210110202), we get a palindrome (223011222110322).

The spelling of 202011012000120 in words is "two hundred two trillion, eleven billion, twelve million, one hundred twenty", and thus it is an aban number.