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12120032231013 = 372973837574339
BaseRepresentation
bin1011000001011110101000…
…1101110011111001100101
31120220122220212220012221010
42300113222031303321211
53042033311222343023
641435511013212433
72360433461104620
oct260275215637145
946818825805833
1012120032231013
113953093253623
121438b3a331119
1369bbb6480555
142dc881314db7
1516040ab41093
hexb05ea373e65

12120032231013 has 128 divisors (see below), whose sum is σ = 19630943539200. Its totient is φ = 6505743992832.

The previous prime is 12120032230981. The next prime is 12120032231023. The reversal of 12120032231013 is 31013223002121.

It is not a de Polignac number, because 12120032231013 - 25 = 12120032230981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120032231023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2793275598 + ... + 2793279936.

It is an arithmetic number, because the mean of its divisors is an integer number (153366746400).

Almost surely, 212120032231013 is an apocalyptic number.

It is an amenable number.

12120032231013 is a deficient number, since it is larger than the sum of its proper divisors (7510911308187).

12120032231013 is a wasteful number, since it uses less digits than its factorization.

12120032231013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12120032231013 its reverse (31013223002121), we get a palindrome (43133255233134).

The spelling of 12120032231013 in words is "twelve trillion, one hundred twenty billion, thirty-two million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 21 29 73 83 87 203 219 249 511 581 609 757 1533 1743 2117 2271 2407 4339 5299 6059 6351 7221 13017 14819 15897 16849 18177 21953 30373 42413 44457 50547 55261 62831 65859 91119 125831 127239 153671 165783 175711 188493 316747 360137 377493 386827 439817 461013 527133 880817 950241 1080411 1160481 1229977 1319451 1602569 1822099 2217229 2520959 2642451 3284623 3689931 4586663 4807707 5466297 6651687 7562877 9185663 9853869 10443973 11217983 12754693 13759989 22992361 26290001 27556989 31331919 32106641 33653949 38264079 64299641 68977083 73107811 78870003 95254067 96319923 133013227 184030007 192898923 219323433 239777479 272623709 285762201 399039681 552090021 666778469 719332437 762410029 817871127 931092589 1678442353 1908365963 2000335407 2287230087 2793277767 5035327059 5336870203 5725097889 6953546891 7906087561 16010610609 19901530757 20860640673 23718262683 48674828237 55342612927 59704592271 139310715299 146024484711 166027838781 417932145897 577144391953 1731433175859 4040010743671 12120032231013