2004772101120 has 704 divisors, whose sum is σ = 7364106408960. Its totient is φ = 516822073344.

The previous prime is 2004772101113. The next prime is 2004772101133. The reversal of 2004772101120 is 211012774002.

It is a happy number.

It is a super-2 number, since 2×2004772101120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854183787 + ... + 854186133.

Almost surely, 2^{2004772101120} is an apocalyptic number.

2004772101120 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 2004772101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682053204480).

2004772101120 is an abundant number, since it is smaller than the sum of its proper divisors (5359334307840).

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

2004772101120 is a wasteful number, since it uses less digits than its factorization.

2004772101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 2004772101120 its reverse (211012774002), we get a palindrome (2215784875122).

The spelling of 2004772101120 in words is "two trillion, four billion, seven hundred seventy-two million, one hundred one thousand, one hundred twenty".