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12230230122440 = 235111715710414379
BaseRepresentation
bin1011000111111001001010…
…0001011001111111001000
31121022012100202200010022022
42301332102201121333020
53100340002402404230
642002253512344012
72401414334531201
oct261762241317710
947265322603268
1012230230122440
1139958a2076470
1214563733a5008
136a93c8976a75
14303d368cc5a8
1516320a2c81e5
hexb1f92859fc8

12230230122440 has 128 divisors (see below), whose sum is σ = 31987976457600. Its totient is φ = 4159085998080.

The previous prime is 12230230122437. The next prime is 12230230122469. The reversal of 12230230122440 is 4422103203221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4032830 + ... + 6381549.

It is an arithmetic number, because the mean of its divisors is an integer number (249906066075).

Almost surely, 212230230122440 is an apocalyptic number.

12230230122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230230122440 is an abundant number, since it is smaller than the sum of its proper divisors (19757746335160).

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

12230230122440 is a wasteful number, since it uses less digits than its factorization.

12230230122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414575 (or 10414571 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12230230122440 its reverse (4422103203221), we get a palindrome (16652333325661).

The spelling of 12230230122440 in words is "twelve trillion, two hundred thirty billion, two hundred thirty million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 157 170 187 220 314 340 374 440 628 680 748 785 935 1256 1496 1570 1727 1870 2669 3140 3454 3740 5338 6280 6908 7480 8635 10676 13345 13816 17270 21352 26690 29359 34540 53380 58718 69080 106760 117436 146795 234872 293590 587180 1174360 10414379 20828758 41657516 52071895 83315032 104143790 114558169 177044443 208287580 229116338 354088886 416575160 458232676 572790845 708177772 885222215 916465352 1145581690 1416355544 1635057503 1770444430 1947488873 2291163380 3270115006 3540888860 3894977746 4582326760 6540230012 7081777720 7789955492 8175287515 9737444365 13080460024 15579910984 16350575030 17985632533 19474888730 27795977551 32701150060 35971265066 38949777460 55591955102 65402300120 71942530132 77899554920 89928162665 111183910204 138979887755 143885060264 179856325330 222367820408 277959775510 305755753061 359712650660 555919551020 611511506122 719425301320 1111839102040 1223023012244 1528778765305 2446046024488 3057557530610 6115115061220 12230230122440