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123213120 = 2635128347
BaseRepresentation
bin1110101100000…
…01010101000000
322120211212121220
413112001111000
5223020304440
620120515040
73024202632
oct726012500
9276755556
10123213120
1163606928
123531ba80
131c6b0594
1412514a52
15ac3c8d0
hex7581540

123213120 has 56 divisors (see below), whose sum is σ = 391204704. Its totient is φ = 32856576.

The previous prime is 123213091. The next prime is 123213137. The reversal of 123213120 is 21312321.

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 123213120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63214 + ... + 65133.

Almost surely, 2123213120 is an apocalyptic number.

123213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123213120 is an abundant number, since it is smaller than the sum of its proper divisors (267991584).

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

123213120 is a wasteful number, since it uses less digits than its factorization.

123213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128367 (or 128357 counting only the distinct ones).

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

The square root of 123213120 is about 11100.1405396508. The cubic root of 123213120 is about 497.6060496295.

Adding to 123213120 its reverse (21312321), we get a palindrome (144525441).

The spelling of 123213120 in words is "one hundred twenty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 128347 256694 385041 513388 641735 770082 1026776 1283470 1540164 1925205 2053552 2566940 3080328 3850410 4107104 5133880 6160656 7700820 8214208 10267760 12321312 15401640 20535520 24642624 30803280 41071040 61606560 123213120