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120100021212200 = 235229137151145257
BaseRepresentation
bin11011010011101011110111…
…000110100001010000101000
3120202020110010222100001212012
4123103223313012201100220
5111220204320412242300
61103233104342335052
734203640325360621
oct3323536706412050
9522213128301765
10120100021212200
11352a4150a78357
121157823212a488
1352024ca4554c3
142192c2cc52a48
15dd4125680435
hex6d3af71a1428

120100021212200 has 96 divisors (see below), whose sum is σ = 290969736175800. Its totient is φ = 46044890787840.

The previous prime is 120100021212191. The next prime is 120100021212251. The reversal of 120100021212200 is 2212120001021.

It can be written as a sum of positive squares in 12 ways, for example, as 119413095844 + 119980608116356 = 345562^2 + 10953566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74778029 + ... + 76367228.

Almost surely, 2120100021212200 is an apocalyptic number.

120100021212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100021212200 is an abundant number, since it is smaller than the sum of its proper divisors (170869714963600).

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

120100021212200 is a wasteful number, since it uses less digits than its factorization.

120100021212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151145439 (or 151145430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100021212200 its reverse (2212120001021), we get a palindrome (122312141213221).

The spelling of 120100021212200 in words is "one hundred twenty trillion, one hundred billion, twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 137 145 200 232 274 290 548 580 685 725 1096 1160 1370 1450 2740 2900 3425 3973 5480 5800 6850 7946 13700 15892 19865 27400 31784 39730 79460 99325 158920 198650 397300 794600 151145257 302290514 604581028 755726285 1209162056 1511452570 3022905140 3778631425 4383212453 6045810280 7557262850 8766424906 15114525700 17532849812 20706900209 21916062265 30229051400 35065699624 41413800418 43832124530 82827600836 87664249060 103534501045 109580311325 165655201672 175328498120 207069002090 219160622650 414138004180 438321245300 517672505225 600500106061 828276008360 876642490600 1035345010450 1201000212122 2070690020900 2402000424244 3002500530305 4141380041800 4804000848488 6005001060610 12010002121220 15012502651525 24020004242440 30025005303050 60050010606100 120100021212200