4002201120 has 48 divisors (see below), whose sum is σ = 12606935040. Its totient is φ = 1067253504.

The previous prime is 4002201083. The next prime is 4002201121. The reversal of 4002201120 is 211022004.

4002201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4002201120² = 32035227609858508800, which 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 = 4002201096 and 4002201105.

It is not an unprimeable number, because it can be changed into a prime (4002201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4168480 + ... + 4169439.

It is an arithmetic number, because the mean of its divisors is an integer number (262644480).

Almost surely, 2^4002201120 is an apocalyptic number.

4002201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002201120 is an abundant number, since it is smaller than the sum of its proper divisors (8604733920).

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

4002201120 is a wasteful number, since it uses less digits than its factorization.

4002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337937 (or 8337929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4002201120 is about 63262.9521916263. The cubic root of 4002201120 is about 1587.6921702595.

Adding to 4002201120 its reverse (211022004), we get a palindrome (4213223124).

The spelling of 4002201120 in words is "four billion, two million, two hundred one thousand, one hundred twenty".