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123121300020 = 223518231125629
BaseRepresentation
bin111001010101010011…
…0011111001000110100
3102202210112110002011220
41302222212133020310
54004123023100040
6132321112430340
711616026532315
oct1625246371064
9382715402156
10123121300020
1148240845014
121ba410a83b0
13b7c1a5c464
145d5dac660c
15330900a2d0
hex1caa99f234

123121300020 has 48 divisors (see below), whose sum is σ = 344929052160. Its totient is φ = 32814307456.

The previous prime is 123121299991. The next prime is 123121300039. The reversal of 123121300020 is 20003121321.

123121300020 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 2×1231213000202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453435 + ... + 672194.

It is an arithmetic number, because the mean of its divisors is an integer number (7186021920).

Almost surely, 2123121300020 is an apocalyptic number.

123121300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121300020 is an abundant number, since it is smaller than the sum of its proper divisors (221807752140).

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

123121300020 is a wasteful number, since it uses less digits than its factorization.

123121300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127464 (or 1127462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123121300020 its reverse (20003121321), we get a palindrome (143124421341).

The spelling of 123121300020 in words is "one hundred twenty-three billion, one hundred twenty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1823 3646 5469 7292 9115 10938 18230 21876 27345 36460 54690 109380 1125629 2251258 3376887 4502516 5628145 6753774 11256290 13507548 16884435 22512580 33768870 67537740 2052021667 4104043334 6156065001 8208086668 10260108335 12312130002 20520216670 24624260004 30780325005 41040433340 61560650010 123121300020