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12011212021000 = 2353449220312143
BaseRepresentation
bin1010111011001001010000…
…0001101001110100001000
31120112021001000110210011111
42232302110001221310020
53033242430234133000
641313512530340104
72346532013430253
oct256622401516410
946467030423144
1012011212021000
113910a21066165
12141ba2a72a634
1369186351cc3a
142d74baac009a
1515c68c3e0cba
hexaec94069d08

12011212021000 has 128 divisors (see below), whose sum is σ = 28183940928000. Its totient is φ = 4791213772800.

The previous prime is 12011212020991. The next prime is 12011212021009. The reversal of 12011212021000 is 12021211021.

It is an interprime number because it is at equal distance from previous prime (12011212020991) and next prime (12011212021009).

It is not an unprimeable number, because it can be changed into a prime (12011212021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989140929 + ... + 989153071.

It is an arithmetic number, because the mean of its divisors is an integer number (220187038500).

Almost surely, 212011212021000 is an apocalyptic number.

12011212021000 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 12011212021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091970464000).

12011212021000 is an abundant number, since it is smaller than the sum of its proper divisors (16172728907000).

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

12011212021000 is a wasteful number, since it uses less digits than its factorization.

12011212021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011212021000 its reverse (12021211021), we get a palindrome (12023233232021).

The spelling of 12011212021000 in words is "twelve trillion, eleven billion, two hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 449 500 898 1000 1796 2203 2245 3592 4406 4490 8812 8980 11015 11225 12143 17624 17960 22030 22450 24286 44060 44900 48572 55075 56125 60715 88120 89800 97144 110150 112250 121430 220300 224500 242860 275375 303575 440600 449000 485720 550750 607150 989147 1101500 1214300 1517875 1978294 2203000 2428600 3035750 3956588 4945735 5452207 6071500 7913176 9891470 10904414 12143000 19782940 21808828 24728675 26751029 27261035 39565880 43617656 49457350 53502058 54522070 98914700 107004116 109044140 123643375 133755145 136305175 197829400 214008232 218088280 247286750 267510290 272610350 494573500 535020580 545220700 668775725 681525875 989147000 1070041160 1090441400 1337551450 1363051750 2675102900 2726103500 3343878625 5350205800 5452207000 6687757250 12011212021 13375514500 24022424042 26751029000 48044848084 60056060105 96089696168 120112120210 240224240420 300280300525 480448480840 600560601050 1201121202100 1501401502625 2402242404200 3002803005250 6005606010500 12011212021000