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12012010000000 = 27571201201
BaseRepresentation
bin1010111011001100001110…
…0101101100111010000000
31120112100002122000022120021
42232303003211230322000
53033301044030000000
641314124034023224
72346560543225533
oct256630345547200
946470078008507
1012012010000000
1139112a054663a
121420011a17b14
1369195c945c6a
142d7554a80a1a
1515c6d74b911a
hexaecc396ce80

12012010000000 has 128 divisors (see below), whose sum is σ = 29912668540560. Its totient is φ = 4804800000000.

The previous prime is 12012009999887. The next prime is 12012010000021. The reversal of 12012010000000 is 1021021.

It can be written as a sum of positive squares in 8 ways, for example, as 10915834503744 + 1096175496256 = 3303912^2 + 1046984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399400 + ... + 10600600.

Almost surely, 212012010000000 is an apocalyptic number.

12012010000000 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 12012010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956334270280).

12012010000000 is an abundant number, since it is smaller than the sum of its proper divisors (17900658540560).

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

12012010000000 is an frugal number, since it uses more digits than its factorization.

12012010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201250 (or 1201208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12012010000000 its reverse (1021021), we get a palindrome (12012011021021).

The spelling of 12012010000000 in words is "twelve trillion, twelve billion, ten million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1201201 1250000 2000000 2402402 2500000 4804804 5000000 6006005 9609608 10000000 12012010 19219216 24024020 30030025 38438432 48048040 60060050 76876864 96096080 120120100 150150125 153753728 192192160 240240200 300300250 384384320 480480400 600600500 750750625 768768640 960960800 1201201000 1501501250 1921921600 2402402000 3003002500 3753753125 3843843200 4804804000 6006005000 7507506250 9609608000 12012010000 15015012500 18768765625 19219216000 24024020000 30030025000 37537531250 48048040000 60060050000 75075062500 93843828125 96096080000 120120100000 150150125000 187687656250 240240200000 300300250000 375375312500 480480400000 600600500000 750750625000 1201201000000 1501501250000 2402402000000 3003002500000 6006005000000 12012010000000