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4122102120 = 2335434911627
BaseRepresentation
bin1111010110110010…
…0100100101101000
3101122021110111001220
43311230210211220
531420224231440
61521010542040
7204102201303
oct36554444550
911567414056
104122102120
111825901374
12970597920
135090033a6
142b1659b3a
15191d438d0
hexf5b24968

4122102120 has 128 divisors (see below), whose sum is σ = 12687459840. Its totient is φ = 1070818560.

The previous prime is 4122102107. The next prime is 4122102121. The reversal of 4122102120 is 212012214.

4122102120 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4122102120.

It is not an unprimeable number, because it can be changed into a prime (4122102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532747 + ... + 2534373.

It is an arithmetic number, because the mean of its divisors is an integer number (99120780).

Almost surely, 24122102120 is an apocalyptic number.

4122102120 is a gapful number since it is divisible by the number (40) 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 4122102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343729920).

4122102120 is an abundant number, since it is smaller than the sum of its proper divisors (8565357720).

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

4122102120 is a wasteful number, since it uses less digits than its factorization.

4122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4122102120 is about 64203.5989645440. The cubic root of 4122102120 is about 1603.3915194595.

Adding to 4122102120 its reverse (212012214), we get a palindrome (4334114334).

The spelling of 4122102120 in words is "four billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 491 516 645 860 982 1032 1290 1473 1627 1720 1964 2455 2580 2946 3254 3928 4881 4910 5160 5892 6508 7365 8135 9762 9820 11784 13016 14730 16270 19524 19640 21113 24405 29460 32540 39048 42226 48810 58920 63339 65080 69961 84452 97620 105565 126678 139922 168904 195240 209883 211130 253356 279844 316695 349805 419766 422260 506712 559688 633390 699610 798857 839532 844520 1049415 1266780 1399220 1597714 1679064 2098830 2396571 2533560 2798440 3195428 3994285 4197660 4793142 6390856 7988570 8395320 9586284 11982855 15977140 19172568 23965710 31954280 34350851 47931420 68701702 95862840 103052553 137403404 171754255 206105106 274806808 343508510 412210212 515262765 687017020 824420424 1030525530 1374034040 2061051060 4122102120