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123120020030 = 25721187211681
BaseRepresentation
bin111001010101010000…
…1100110101000111110
3102202210110001001100212
41302222201212220332
54004122211120110
6132321025152422
711616012621500
oct1625241465076
9382713031325
10123120020030
1148240050377
121ba4078b712
13b7c1701977
145d5d871d70
153308d55e05
hex1caa866a3e

123120020030 has 48 divisors (see below), whose sum is σ = 258016649616. Its totient is φ = 42176816640.

The previous prime is 123120020003. The next prime is 123120020053. The reversal of 123120020030 is 30020021321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 123120019987 and 123120020014.

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 23 ways as a sum of consecutive naturals, for example, 475790 + ... + 687470.

It is an arithmetic number, because the mean of its divisors is an integer number (5375346867).

Almost surely, 2123120020030 is an apocalyptic number.

123120020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123120020030 is an abundant number, since it is smaller than the sum of its proper divisors (134896629586).

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

123120020030 is a wasteful number, since it uses less digits than its factorization.

123120020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212889 (or 212882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 123120020030 its reverse (30020021321), we get a palindrome (153140041351).

The spelling of 123120020030 in words is "one hundred twenty-three billion, one hundred twenty million, twenty thousand, thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1187 2374 5935 8309 11870 16618 41545 58163 83090 116326 211681 290815 423362 581630 1058405 1481767 2116810 2963534 7408835 10372369 14817670 20744738 51861845 103723690 251265347 502530694 1256326735 1758857429 2512653470 3517714858 8794287145 12312002003 17588574290 24624004006 61560010015 123120020030