121222021986 has 256 divisors, whose sum is σ = 307118407680. Its totient is φ = 35182667520.

The previous prime is 121222021981. The next prime is 121222022029. The reversal of 121222021986 is 689120222121.

121222021986 is a `hidden beast` number, since 1 + 212 + 220 + 219 + 8 + 6 = 666.

121222021986 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121222021986² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121222021986.

It is not an unprimeable number, because it can be changed into a prime (121222021981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261818391 + ... + 261818853.

It is an arithmetic number, because the mean of its divisors is an integer number (1199681280).

Almost surely, 2^121222021986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222021986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153559203840).

121222021986 is an abundant number, since it is smaller than the sum of its proper divisors (185896385694).

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

121222021986 is a wasteful number, since it uses less digits than its factorization.

121222021986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 121222021986 in words is "one hundred twenty-one billion, two hundred twenty-two million, twenty-one thousand, nine hundred eighty-six".