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12210123000132 = 22324110181905357
BaseRepresentation
bin1011000110101110010000…
…0010110100100101000100
31121020021110110120110212200
42301223210002310211010
53100022312442001012
641545130355114500
72400103142026311
oct261534402644504
947207413513780
1012210123000132
113988314130912
1214524a15a2a30
136a7543033865
14302d8a2bdd08
1516292ee4c3dc
hexb1ae40b4944

12210123000132 has 72 divisors (see below), whose sum is σ = 31930312384152. Its totient is φ = 3931457088000.

The previous prime is 12210123000079. The next prime is 12210123000143. The reversal of 12210123000132 is 23100032101221.

12210123000132 is a `hidden beast` number, since 1 + 221 + 0 + 12 + 300 + 0 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 650435798016 + 11559687202116 = 806496^2 + 3399954^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40803603 + ... + 41101754.

It is an arithmetic number, because the mean of its divisors is an integer number (443476560891).

Almost surely, 212210123000132 is an apocalyptic number.

12210123000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210123000132 is an abundant number, since it is smaller than the sum of its proper divisors (19720189384020).

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

12210123000132 is a wasteful number, since it uses less digits than its factorization.

12210123000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81905509 (or 81905504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210123000132 its reverse (23100032101221), we get a palindrome (35310155101353).

The spelling of 12210123000132 in words is "twelve trillion, two hundred ten billion, one hundred twenty-three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 164 202 246 303 369 404 492 606 738 909 1212 1476 1818 3636 4141 8282 12423 16564 24846 37269 49692 74538 149076 81905357 163810714 245716071 327621428 491432142 737148213 982864284 1474296426 2948592852 3358119637 6716239274 8272441057 10074358911 13432478548 16544882114 20148717822 24817323171 30223076733 33089764228 40297435644 49634646342 60446153466 74451969513 99269292684 120892306932 148903939026 297807878052 339170083337 678340166674 1017510250011 1356680333348 2035020500022 3052530750033 4070041000044 6105061500066 12210123000132