Search a number
-
+
123021120211020 = 2232519967142326141
BaseRepresentation
bin11011111110001100010110…
…001010111000100001001100
3121010120201000101110012021100
4123332030112022320201030
5112111034223233223040
61113351042235503100
734624661020236423
oct3376142612704114
9533521011405240
10123021120211020
113621aa67229039
121196a3982b7a90
135384ac3740655
14225437ad2c2ba
15e350dd13eb30
hex6fe3162b884c

123021120211020 has 288 divisors, whose sum is σ = 393501865236480. Its totient is φ = 31023875473920.

The previous prime is 123021120210889. The next prime is 123021120211049. The reversal of 123021120211020 is 20112021120321.

123021120211020 is a `hidden beast` number, since 1 + 230 + 211 + 202 + 1 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123021120210984 and 123021120211002.

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 95 ways as a sum of consecutive naturals, for example, 4706047150 + ... + 4706073290.

It is an arithmetic number, because the mean of its divisors is an integer number (1366325920960).

Almost surely, 2123021120211020 is an apocalyptic number.

123021120211020 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 123021120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196750932618240).

123021120211020 is an abundant number, since it is smaller than the sum of its proper divisors (270480745025460).

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

123021120211020 is a wasteful number, since it uses less digits than its factorization.

123021120211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28565 (or 28560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123021120211020 its reverse (20112021120321), we get a palindrome (143133141331341).

The spelling of 123021120211020 in words is "one hundred twenty-three trillion, twenty-one billion, one hundred twenty million, two hundred eleven thousand, twenty".