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12021881640 = 23353723911329
BaseRepresentation
bin10110011001000111…
…10101101100101000
31011000211021212022120
423030203311230220
5144110100203030
65304530351240
7603625210416
oct131443655450
934024255276
1012021881640
11510a04767a
1223b612b520
131197856542
148208b62b6
154a5644010
hex2cc8f5b28

12021881640 has 128 divisors (see below), whose sum is σ = 37198656000. Its totient is φ = 3105865728.

The previous prime is 12021881639. The next prime is 12021881681. The reversal of 12021881640 is 4618812021.

12021881640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055496 + ... + 1066824.

It is an arithmetic number, because the mean of its divisors is an integer number (290614500).

Almost surely, 212021881640 is an apocalyptic number.

12021881640 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 12021881640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599328000).

12021881640 is an abundant number, since it is smaller than the sum of its proper divisors (25176774360).

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

12021881640 is a wasteful number, since it uses less digits than its factorization.

12021881640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 12021881640 in words is "twelve billion, twenty-one million, eight hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 239 296 370 444 478 555 717 740 888 956 1110 1195 1434 1480 1912 2220 2390 2868 3585 4440 4780 5736 7170 8843 9560 11329 14340 17686 22658 26529 28680 33987 35372 44215 45316 53058 56645 67974 70744 88430 90632 106116 113290 132645 135948 169935 176860 212232 226580 265290 271896 339870 353720 419173 453160 530580 679740 838346 1061160 1257519 1359480 1676692 2095865 2515038 2707631 3353384 4191730 5030076 5415262 6287595 8122893 8383460 10060152 10830524 12575190 13538155 16245786 16766920 21661048 25150380 27076310 32491572 40614465 50300760 54152620 64983144 81228930 100182347 108305240 162457860 200364694 300547041 324915720 400729388 500911735 601094082 801458776 1001823470 1202188164 1502735205 2003646940 2404376328 3005470410 4007293880 6010940820 12021881640