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123120021300 = 22352410400071
BaseRepresentation
bin111001010101010000…
…1100110111100110100
3102202210110001010002220
41302222201212330310
54004122211140200
6132321025202340
711616012625263
oct1625241467464
9382713033086
10123120021300
1148240051321
121ba407903b0
13b7c1702413
145d5d8725da
153308d564a0
hex1caa866f34

123120021300 has 36 divisors (see below), whose sum is σ = 356227262496. Its totient is φ = 32832005600.

The previous prime is 123120021293. The next prime is 123120021313. The reversal of 123120021300 is 3120021321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123120021300.

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 11 ways as a sum of consecutive naturals, for example, 205199736 + ... + 205200335.

It is an arithmetic number, because the mean of its divisors is an integer number (9895201736).

Almost surely, 2123120021300 is an apocalyptic number.

123120021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123120021300 is an abundant number, since it is smaller than the sum of its proper divisors (233107241196).

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

123120021300 is a wasteful number, since it uses less digits than its factorization.

123120021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410400088 (or 410400081 counting only the distinct ones).

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

Adding to 123120021300 its reverse (3120021321), we get a palindrome (126240042621).

The spelling of 123120021300 in words is "one hundred twenty-three billion, one hundred twenty million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 410400071 820800142 1231200213 1641600284 2052000355 2462400426 4104000710 4924800852 6156001065 8208001420 10260001775 12312002130 20520003550 24624004260 30780005325 41040007100 61560010650 123120021300