24002142200120 has 64 divisors (see below), whose sum is σ = 62640985236480. Its totient is φ = 8106480429696.

The previous prime is 24002142200093. The next prime is 24002142200149. The reversal of 24002142200120 is 2100224120042.

It is a super-2 number, since 2×24002142200120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24002142200092 and 24002142200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639697184 + ... + 639734703.

It is an arithmetic number, because the mean of its divisors is an integer number (978765394320).

Almost surely, 2^{24002142200120} is an apocalyptic number.

24002142200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24002142200120 is an abundant number, since it is smaller than the sum of its proper divisors (38638843036360).

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

24002142200120 is a wasteful number, since it uses less digits than its factorization.

24002142200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279431972 (or 1279431968 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24002142200120 its reverse (2100224120042), we get a palindrome (26102366320162).

The spelling of 24002142200120 in words is "twenty-four trillion, two billion, one hundred forty-two million, two hundred thousand, one hundred twenty".