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1222071681024 = 21735173761
BaseRepresentation
bin10001110010001001001…
…001100000000000000000
311022211101021110200100000
4101302021021200000000
5130010300322243044
62333224553200000
7154202034616215
oct21621111400000
94284337420300
101222071681024
11431306671797
12178a19400000
138b3192466ac
1443211a07b0c
1521bc7777d69
hex11c89260000

1222071681024 has 864 divisors, whose sum is σ = 4046573565216. Its totient is φ = 366917713920.

The previous prime is 1222071680971. The next prime is 1222071681043. The reversal of 1222071681024 is 4201861702221.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1222071681024.

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, 20033961954 + ... + 20033962014.

It is an arithmetic number, because the mean of its divisors is an integer number (4683534219).

Almost surely, 21222071681024 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 1222071681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023286782608).

1222071681024 is an abundant number, since it is smaller than the sum of its proper divisors (2824501884192).

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

1222071681024 is an frugal number, since it uses more digits than its factorization.

1222071681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1222071681024 in words is "one trillion, two hundred twenty-two billion, seventy-one million, six hundred eighty-one thousand, twenty-four".