240400212002120 has 64 divisors (see below), whose sum is σ = 544505879404800. Its totient is φ = 95519178835200.

The previous prime is 240400212002053. The next prime is 240400212002131. The reversal of 240400212002120 is 21200212004042.

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 = 240400212002092 and 240400212002101.

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, 142423742 + ... + 144101778.

It is an arithmetic number, because the mean of its divisors is an integer number (8507904365700).

Almost surely, 2^{240400212002120} is an apocalyptic number.

240400212002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240400212002120 is an abundant number, since it is smaller than the sum of its proper divisors (304105667402680).

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

240400212002120 is a wasteful number, since it uses less digits than its factorization.

240400212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701918 (or 1701914 counting only the distinct ones).

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

Adding to 240400212002120 its reverse (21200212004042), we get a palindrome (261600424006162).

The spelling of 240400212002120 in words is "two hundred forty trillion, four hundred billion, two hundred twelve million, two thousand, one hundred twenty".