240120120006 has 96 divisors (see below), whose sum is σ = 591995083680. Its totient is φ = 72488991744.

The previous prime is 240120119977. The next prime is 240120120041. The reversal of 240120120006 is 600021021042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23691 + ... + 693398.

It is an arithmetic number, because the mean of its divisors is an integer number (6166615455).

Almost surely, 2^240120120006 is an apocalyptic number.

240120120006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240120120006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295997541840).

240120120006 is an abundant number, since it is smaller than the sum of its proper divisors (351874963674).

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

240120120006 is a wasteful number, since it uses less digits than its factorization.

240120120006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717172 (or 717160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 240120120006 its reverse (600021021042), we get a palindrome (840141141048).

The spelling of 240120120006 in words is "two hundred forty billion, one hundred twenty million, one hundred twenty thousand, six".