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123010120020 = 2235892258827
BaseRepresentation
bin111001010001111111…
…0010111100101010100
3102202111210020112220010
41302203332113211110
54003411042320040
6132302101440220
711613206524344
oct1624376274524
9382453215803
10123010120020
1148194007917
121ba0ba10070
13b7a4a02c88
145d4d024d24
1532ee397e80
hex1ca3f97954

123010120020 has 72 divisors (see below), whose sum is σ = 348343146144. Its totient is φ = 32434003712.

The previous prime is 123010120007. The next prime is 123010120027. The reversal of 123010120020 is 20021010321.

123010120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123010119978 and 123010120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123010120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345847 + ... + 604673.

It is an arithmetic number, because the mean of its divisors is an integer number (4838099252).

Almost surely, 2123010120020 is an apocalyptic number.

123010120020 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 123010120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174171573072).

123010120020 is an abundant number, since it is smaller than the sum of its proper divisors (225333026124).

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

123010120020 is a wasteful number, since it uses less digits than its factorization.

123010120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259017 (or 258926 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 123010120020 its reverse (20021010321), we get a palindrome (143031130341).

The spelling of 123010120020 in words is "one hundred twenty-three billion, ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 7921 15842 23763 31684 39605 47526 79210 95052 118815 158420 237630 258827 475260 517654 776481 1035308 1294135 1552962 2588270 3105924 3882405 5176540 7764810 15529620 23035603 46071206 69106809 92142412 115178015 138213618 230356030 276427236 345534045 460712060 691068090 1382136180 2050168667 4100337334 6150506001 8200674668 10250843335 12301012002 20501686670 24602024004 30752530005 41003373340 61505060010 123010120020