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123120120020 = 22529838812903
BaseRepresentation
bin111001010101010000…
…1111111000011010100
3102202210110020010112012
41302222201333003110
54004122222320040
6132321031243352
711616013516142
oct1625241770324
9382713203465
10123120120020
1148240109507
121ba40819558
13b7c1738331
145d5d89a592
153308d75865
hex1caa87f0d4

123120120020 has 96 divisors (see below), whose sum is σ = 271090955520. Its totient is φ = 46907463680.

The previous prime is 123120119957. The next prime is 123120120043. The reversal of 123120120020 is 20021021321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123120119977 and 123120120004.

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 31 ways as a sum of consecutive naturals, for example, 42409889 + ... + 42412791.

It is an arithmetic number, because the mean of its divisors is an integer number (2823864120).

Almost surely, 2123120120020 is an apocalyptic number.

123120120020 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 123120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135545477760).

123120120020 is an abundant number, since it is smaller than the sum of its proper divisors (147970835500).

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

123120120020 is a wasteful number, since it uses less digits than its factorization.

123120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 123120120020 its reverse (20021021321), we get a palindrome (143141141341).

The spelling of 123120120020 in words is "one hundred twenty-three billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 881 1660 1762 2407 2903 3524 4405 4814 5806 8810 9628 11612 12035 14515 17620 24070 25549 29030 48140 51098 58060 73123 84187 102196 127745 146246 168374 240949 255490 292492 336748 365615 420935 481898 510980 731230 841870 963796 1204745 1462460 1683740 2120567 2409490 2557543 4241134 4818980 5115086 6987521 8482268 10230172 10602835 12787715 13975042 21205670 25575430 27950084 34937605 42411340 51150860 69875210 74168747 139750420 148337494 212276069 296674988 370843735 424552138 741687470 849104276 1061380345 1483374940 2122760690 4245521380 6156006001 12312012002 24624024004 30780030005 61560060010 123120120020