8401221612 has 192 divisors, whose sum is σ = 25684807680. Its totient is φ = 2325024000.

The previous prime is 8401221611. The next prime is 8401221629. The reversal of 8401221612 is 2161221048.

8401221612 is a `hidden beast` number, since 8 + 40 + 1 + 2 + 2 + 1 + 612 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8401221611) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3587562 + ... + 3589902.

It is an arithmetic number, because the mean of its divisors is an integer number (133775040).

Almost surely, 2^8401221612 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 8401221612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842403840).

8401221612 is an abundant number, since it is smaller than the sum of its proper divisors (17283586068).

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

8401221612 is a wasteful number, since it uses less digits than its factorization.

8401221612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8401221612 is about 91658.1780966652. The cubic root of 8401221612 is about 2032.8912518678.

The spelling of 8401221612 in words is "eight billion, four hundred one million, two hundred twenty-one thousand, six hundred twelve".