201200001111120 has 320 divisors, whose sum is σ = 693448780437504. Its totient is φ = 47850777384960.

The previous prime is 201200001111101. The next prime is 201200001111139. The reversal of 201200001111120 is 21111100002102.

It is an interprime number because it is at equal distance from previous prime (201200001111101) and next prime (201200001111139).

It is a super-2 number, since 2×201200001111120² (a number of 29 digits) contains 22 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 = 201200001111096 and 201200001111105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25637854 + ... + 32553026.

Almost surely, 2^{201200001111120} is an apocalyptic number.

201200001111120 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 201200001111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346724390218752).

201200001111120 is an abundant number, since it is smaller than the sum of its proper divisors (492248779326384).

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

201200001111120 is a wasteful number, since it uses less digits than its factorization.

201200001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915410 (or 6915404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201200001111120 its reverse (21111100002102), we get a palindrome (222311101113222).

The spelling of 201200001111120 in words is "two hundred one trillion, two hundred billion, one million, one hundred eleven thousand, one hundred twenty".