Search a number
-
+
12010022020120 = 2352371267768683
BaseRepresentation
bin1010111011000100110100…
…0110001010010000011000
31120112010222002021110211211
42232301031012022100120
53033233011114120440
641313154500432504
72346460353536035
oct256611506122030
946463862243754
1012010022020120
113910470369963
12141b7580a8734
13691703b19ac7
142d7406a3438c
1515c61cbcceea
hexaec4d18a418

12010022020120 has 128 divisors (see below), whose sum is σ = 28605688151040. Its totient is φ = 4528660308480.

The previous prime is 12010022020103. The next prime is 12010022020133. The reversal of 12010022020120 is 2102022001021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010022020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174827299 + ... + 174895981.

It is an arithmetic number, because the mean of its divisors is an integer number (223481938680).

Almost surely, 212010022020120 is an apocalyptic number.

12010022020120 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 12010022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302844075520).

12010022020120 is an abundant number, since it is smaller than the sum of its proper divisors (16595666130920).

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

12010022020120 is a wasteful number, since it uses less digits than its factorization.

12010022020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71465 (or 71461 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12010022020120 its reverse (2102022001021), we get a palindrome (14112044021141).

The spelling of 12010022020120 in words is "twelve trillion, ten billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2677 2840 3266 5354 6532 8165 10708 13064 13385 16330 21416 26770 32660 53540 61571 65320 68683 107080 123142 137366 190067 246284 274732 307855 343415 380134 492568 549464 615710 686830 760268 950335 1231420 1373660 1520536 1579709 1900670 2462840 2747320 3159418 3801340 4371541 4876493 6318836 7602680 7898545 8743082 9752986 12637672 15797090 17486164 19505972 21857705 24382465 31594180 34972328 39011944 43715410 48764930 63188360 87430820 97529860 112159339 174861640 183864391 195059720 224318678 367728782 448637356 560796695 735457564 897274712 919321955 1121593390 1470915128 1838643910 2243186780 3677287820 4228880993 4486373560 7354575640 8457761986 13054371761 16915523972 21144404965 26108743522 33831047944 42288809930 52217487044 65271858805 84577619860 104434974088 130543717610 169155239720 261087435220 300250550503 522174870440 600501101006 1201002202012 1501252752515 2402004404024 3002505505030 6005011010060 12010022020120