20120201442432 has 1600 divisors, whose sum is σ = 76275120028800. Its totient is φ = 5232599543808.

The previous prime is 20120201442361. The next prime is 20120201442443. The reversal of 20120201442432 is 23424410202102.

It is a happy number.

20120201442432 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 201 + 4 + 424 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20120201442396 and 20120201442405.

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 199 ways as a sum of consecutive naturals, for example, 25565693943 + ... + 25565694729.

It is an arithmetic number, because the mean of its divisors is an integer number (47671950018).

Almost surely, 2^{20120201442432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120201442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137560014400).

20120201442432 is an abundant number, since it is smaller than the sum of its proper divisors (56154918586368).

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

20120201442432 is an frugal number, since it uses more digits than its factorization.

20120201442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20120201442432 its reverse (23424410202102), we get a palindrome (43544611644534).

The spelling of 20120201442432 in words is "twenty trillion, one hundred twenty billion, two hundred one million, four hundred forty-two thousand, four hundred thirty-two".