Search a number
-
+
123210112210020 = 223451117833877817
BaseRepresentation
bin11100000000111100010110…
…111110001001010001100100
3121011020202211120020111020000
4130000330112332021101210
5112122133302211210040
61114013535534141300
734644431303565153
oct3400742676112144
9534222746214200
10123210112210020
113629312a297150
121199ab41351830
135399882293464
14225d58905959a
15e39e9ee94130
hex700f16f89464

123210112210020 has 240 divisors, whose sum is σ = 421888977595008. Its totient is φ = 29852358243840.

The previous prime is 123210112209983. The next prime is 123210112210027. The reversal of 123210112210020 is 20012211012321.

123210112210020 is a `hidden beast` number, since 1 + 2 + 321 + 0 + 112 + 210 + 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 = 123210112209975 and 123210112210002.

It is not an unprimeable number, because it can be changed into a prime (123210112210027) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29834152 + ... + 33711968.

Almost surely, 2123210112210020 is an apocalyptic number.

123210112210020 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 123210112210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210944488797504).

123210112210020 is an abundant number, since it is smaller than the sum of its proper divisors (298678865384988).

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

123210112210020 is a wasteful number, since it uses less digits than its factorization.

123210112210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879632 (or 3879621 counting only the distinct ones).

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

Adding to 123210112210020 its reverse (20012211012321), we get a palindrome (143222323222341).

The spelling of 123210112210020 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred twelve million, two hundred ten thousand, twenty".