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4122012620 = 22511223103719
BaseRepresentation
bin1111010110110000…
…1110101111001100
3101122021021221022002
43311230032233030
531420213400440
61521005011432
7204101346335
oct36554165714
911567257262
104122012620
111825850100
12970553b78
13508ca172b
142b163528c
15191d27115
hexf5b0ebcc

4122012620 has 144 divisors (see below), whose sum is σ = 10038712320. Its totient is φ = 1417848960.

The previous prime is 4122012563. The next prime is 4122012673. The reversal of 4122012620 is 262102214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4122012592 and 4122012601.

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 47 ways as a sum of consecutive naturals, for example, 5732621 + ... + 5733339.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 24122012620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122012620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

4122012620 is an abundant number, since it is smaller than the sum of its proper divisors (5916699700).

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

4122012620 is a wasteful number, since it uses less digits than its factorization.

4122012620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4122012620 is about 64202.9019593351. The cubic root of 4122012620 is about 1603.3799149775.

Adding to 4122012620 its reverse (262102214), we get a palindrome (4384114834).

The spelling of 4122012620 in words is "four billion, one hundred twenty-two million, twelve thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 103 110 115 121 206 220 230 242 253 412 460 484 506 515 605 719 1012 1030 1133 1210 1265 1438 2060 2266 2369 2420 2530 2783 2876 3595 4532 4738 5060 5566 5665 7190 7909 9476 11132 11330 11845 12463 13915 14380 15818 16537 22660 23690 24926 26059 27830 31636 33074 39545 47380 49852 52118 55660 62315 66148 74057 79090 82685 86999 104236 124630 130295 148114 158180 165370 173998 181907 249260 260590 286649 296228 330740 347996 363814 370285 434995 521180 573298 727628 740570 814627 869990 909535 1146596 1433245 1481140 1629254 1703311 1739980 1819070 2000977 2866490 3258508 3406622 3638140 4001954 4073135 5732980 6813244 8003908 8146270 8516555 8960897 10004885 16292540 17033110 17921794 18736421 20009770 34066220 35843588 37472842 40019540 44804485 74945684 89608970 93682105 179217940 187364210 206100631 374728420 412201262 824402524 1030503155 2061006310 4122012620