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12220002112140 = 22335139162803119
BaseRepresentation
bin1011000111010011000011…
…1000101001001010001100
31121021012221221212100212000
42301310300320221022030
53100203031020042030
641553442542512300
72400603021061164
oct261646070511214
947235857770760
1012220002112140
113991523687999
121454399b95690
136a8458975b74
143036463755a4
15162d0c3cb860
hexb1d30e2928c

12220002112140 has 96 divisors (see below), whose sum is σ = 38291293824000. Its totient is φ = 3235223560896.

The previous prime is 12220002112139. The next prime is 12220002112147. The reversal of 12220002112140 is 4121120002221.

It is a super-2 number, since 2×122200021121402 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12220002112147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81326500 + ... + 81476619.

It is an arithmetic number, because the mean of its divisors is an integer number (398867644000).

Almost surely, 212220002112140 is an apocalyptic number.

12220002112140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220002112140 is an abundant number, since it is smaller than the sum of its proper divisors (26071291711860).

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

12220002112140 is a wasteful number, since it uses less digits than its factorization.

12220002112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162803276 (or 162803268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220002112140 its reverse (4121120002221), we get a palindrome (16341122114361).

The spelling of 12220002112140 in words is "twelve trillion, two hundred twenty billion, two million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 25020 37530 75060 162803119 325606238 488409357 651212476 814015595 976818714 1465228071 1628031190 1953637428 2442046785 2930456142 3256062380 4395684213 4884093570 5860912284 7326140355 8791368426 9768187140 14652280710 17582736852 21978421065 22629633541 29304561420 43956842130 45259267082 67888900623 87913684260 90518534164 113148167705 135777801246 203666701869 226296335410 271555602492 339444503115 407333403738 452592670820 611000105607 678889006230 814666807476 1018333509345 1222000211214 1357778012460 2036667018690 2444000422428 3055000528035 4073334037380 6110001056070 12220002112140