Search a number
-
+
120222668681280 = 26335112371774629
BaseRepresentation
bin11011010101011110000101…
…011101011111000001000000
3120202200011201111012001012000
4123111132011131133001000
5111224212011140300110
61103405310451304000
734215541542561024
oct3325360535370100
9522604644161160
10120222668681280
11353411692aa150
1211597b605ab000
135210c44c92c09
142198b45a36384
15dd7402c911c0
hex6d578575f040

120222668681280 has 896 divisors, whose sum is σ = 489591939686400. Its totient is φ = 27485040844800.

The previous prime is 120222668681267. The next prime is 120222668681327. The reversal of 120222668681280 is 82186866222021.

120222668681280 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 226 + 68 + 6 + 81 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154813006 + ... + 155587634.

Almost surely, 2120222668681280 is an apocalyptic number.

120222668681280 is a gapful number since it is divisible by the number (10) 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 120222668681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244795969843200).

120222668681280 is an abundant number, since it is smaller than the sum of its proper divisors (369369271005120).

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

120222668681280 is a wasteful number, since it uses less digits than its factorization.

120222668681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774760 (or 774744 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 120222668681280 in words is "one hundred twenty trillion, two hundred twenty-two billion, six hundred sixty-eight million, six hundred eighty-one thousand, two hundred eighty".