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12221542540 = 2254715782813
BaseRepresentation
bin10110110000111010…
…11111000010001100
31011112201222200120201
423120131133002030
5200012203330130
65340422023244
7611601253234
oct133035370214
934481880521
1012221542540
115201818889
122450b77b24
1311ca02239c
1483d20acc4
154b7e32bca
hex2d875f08c

12221542540 has 48 divisors (see below), whose sum is σ = 26378577792. Its totient is φ = 4754071296.

The previous prime is 12221542519. The next prime is 12221542589. The reversal of 12221542540 is 4524512221.

It is a happy number.

12221542540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122215425402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221542499 and 12221542508.

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 15 ways as a sum of consecutive naturals, for example, 106174 + ... + 188986.

It is an arithmetic number, because the mean of its divisors is an integer number (549553704).

Almost surely, 212221542540 is an apocalyptic number.

12221542540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221542540 is an abundant number, since it is smaller than the sum of its proper divisors (14157035252).

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

12221542540 is a wasteful number, since it uses less digits than its factorization.

12221542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83026 (or 83024 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 12221542540 in words is "twelve billion, two hundred twenty-one million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 47 94 157 188 235 314 470 628 785 940 1570 3140 7379 14758 29516 36895 73790 82813 147580 165626 331252 414065 828130 1656260 3892211 7784422 13001641 15568844 19461055 26003282 38922110 52006564 65008205 77844220 130016410 260032820 611077127 1222154254 2444308508 3055385635 6110771270 12221542540