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120013220142024 = 233116710763411289
BaseRepresentation
bin11011010010011011000001…
…010110101101101111001000
3120201221011002122210211111020
4123102123001112231233020
5111212244033324021044
61103125151234232440
734164445321426236
oct3322330126555710
9521834078724436
10120013220142024
1135270359039620
1211563448725720
1351c72762b8911
14218c956b41956
15dd1c4508ea19
hex6d26c15adbc8

120013220142024 has 128 divisors (see below), whose sum is σ = 335298609907200. Its totient is φ = 35490029667840.

The previous prime is 120013220141981. The next prime is 120013220142043. The reversal of 120013220142024 is 420241022310021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120013220141985 and 120013220142003.

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, 29813029 + ... + 33598260.

It is an arithmetic number, because the mean of its divisors is an integer number (2619520389900).

Almost surely, 2120013220142024 is an apocalyptic number.

It is an amenable number.

120013220142024 is an abundant number, since it is smaller than the sum of its proper divisors (215285389765176).

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

120013220142024 is a wasteful number, since it uses less digits than its factorization.

120013220142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63411483 (or 63411479 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120013220142024 its reverse (420241022310021), we get a palindrome (540254242452045).

The spelling of 120013220142024 in words is "one hundred twenty trillion, thirteen billion, two hundred twenty million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 107 132 134 201 214 264 268 321 402 428 536 642 737 804 856 1177 1284 1474 1608 2211 2354 2568 2948 3531 4422 4708 5896 7062 7169 8844 9416 14124 14338 17688 21507 28248 28676 43014 57352 78859 86028 157718 172056 236577 315436 473154 630872 946308 1892616 63411289 126822578 190233867 253645156 380467734 507290312 697524179 760935468 1395048358 1521870936 2092572537 2790096716 4185145074 4248556363 5580193432 6785007923 8370290148 8497112726 12745669089 13570015846 16740580296 16994225452 20355023769 25491338178 27140031692 33988450904 40710047538 46734119993 50982676356 54280063384 74635087153 81420095076 93468239986 101965352712 140202359979 149270174306 162840190152 186936479972 223905261459 280404719958 298540348612 373872959944 447810522918 454595530841 560809439916 597080697224 895621045836 909191061682 1121618879832 1363786592523 1791242091672 1818382123364 2727573185046 3636764246728 5000550839251 5455146370092 10001101678502 10910292740184 15001652517753 20002203357004 30003305035506 40004406714008 60006610071012 120013220142024