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120021012540 = 2232511134662821
BaseRepresentation
bin110111111000111001…
…1110101000000111100
3102110210110201011021200
41233301303311000330
53431300334400130
6131045322455500
711446142526312
oct1576163650074
9373713634250
10120021012540
114699a807160
121b316964590
13b419663620
145b480560b2
1531c6c56760
hex1bf1cf503c

120021012540 has 144 divisors (see below), whose sum is σ = 427711336416. Its totient is φ = 26857843200.

The previous prime is 120021012511. The next prime is 120021012541. The reversal of 120021012540 is 45210120021.

120021012540 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 101 + 2 + 540 = 666.

It is a super-2 number, since 2×1200210125402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021012541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305671 + ... + 2357150.

It is an arithmetic number, because the mean of its divisors is an integer number (2970217614).

Almost surely, 2120021012540 is an apocalyptic number.

120021012540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021012540 is an abundant number, since it is smaller than the sum of its proper divisors (307690323876).

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

120021012540 is a wasteful number, since it uses less digits than its factorization.

120021012540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662860 (or 4662855 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 120021012540 its reverse (45210120021), we get a palindrome (165231132561).

The spelling of 120021012540 in words is "one hundred twenty billion, twenty-one million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 4662821 9325642 13988463 18651284 23314105 27976926 41965389 46628210 51291031 55953852 60616673 69942315 83930778 93256420 102582062 121233346 139884630 153873093 167861556 181850019 205164124 209826945 242466692 256455155 279769260 303083365 307746186 363700038 419653890 461619279 512910310 545550057 606166730 615492372 666783403 727400076 769365465 839307780 909250095 923238558 1025820620 1091100114 1212333460 1333566806 1538730930 1818500190 1846477116 2000350209 2182200228 2308096395 2667133612 2727750285 3077461860 3333917015 3637000380 4000700418 4616192790 5455500570 6001050627 6667834030 8001400836 9232385580 10001751045 10911001140 12002101254 13335668060 20003502090 24004202508 30005253135 40007004180 60010506270 120021012540