412244022141120 has 336 divisors, whose sum is σ = 1435242845698560. Its totient is φ = 100190949101568.

The previous prime is 412244022141101. The next prime is 412244022141137. The reversal of 412244022141120 is 21141220442214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265014 + ... + 28898933.

Almost surely, 2^{412244022141120} is an apocalyptic number.

412244022141120 is a gapful number since it is divisible by the number (40) 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 412244022141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717621422849280).

412244022141120 is an abundant number, since it is smaller than the sum of its proper divisors (1022998823557440).

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

412244022141120 is a wasteful number, since it uses less digits than its factorization.

412244022141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32164072 (or 32164049 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 412244022141120 its reverse (21141220442214), we get a palindrome (433385242583334).

The spelling of 412244022141120 in words is "four hundred twelve trillion, two hundred forty-four billion, twenty-two million, one hundred forty-one thousand, one hundred twenty".