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12002134000 = 245337592749
BaseRepresentation
bin10110010110110001…
…00000011111110000
31010222110010120122111
423023120200133300
5144040021242000
65302543215104
7603265312213
oct131330403760
933873116574
1012002134000
1150a9989a0a
1223ab5a7494
131193730c4c
1481c01577a
154a3a42cba
hex2cb6207f0

12002134000 has 160 divisors (see below), whose sum is σ = 30321720000. Its totient is φ = 4590259200.

The previous prime is 12002133973. The next prime is 12002134009. The reversal of 12002134000 is 43120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002134009) 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, 4364626 + ... + 4367374.

It is an arithmetic number, because the mean of its divisors is an integer number (189510750).

Almost surely, 212002134000 is an apocalyptic number.

12002134000 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 12002134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860000).

12002134000 is an abundant number, since it is smaller than the sum of its proper divisors (18319586000).

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

12002134000 is a wasteful number, since it uses less digits than its factorization.

12002134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12002134000 its reverse (43120021), we get a palindrome (12045254021).

The spelling of 12002134000 in words is "twelve billion, two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 59 74 80 100 118 125 148 185 200 236 250 295 296 370 400 472 500 590 592 740 925 944 1000 1180 1475 1480 1850 2000 2183 2360 2749 2950 2960 3700 4366 4625 4720 5498 5900 7375 7400 8732 9250 10915 10996 11800 13745 14750 14800 17464 18500 21830 21992 23600 27490 29500 34928 37000 43660 43984 54575 54980 59000 68725 74000 87320 101713 109150 109960 118000 137450 162191 174640 203426 218300 219920 272875 274900 324382 343625 406852 436600 508565 545750 549800 648764 687250 810955 813704 873200 1017130 1091500 1099600 1297528 1374500 1621910 1627408 2034260 2183000 2542825 2595056 2749000 3243820 4054775 4068520 4366000 5085650 5498000 6001067 6487640 8109550 8137040 10171300 12002134 12714125 12975280 16219100 20273875 20342600 24004268 25428250 30005335 32438200 40547750 40685200 48008536 50856500 60010670 64876400 81095500 96017072 101713000 120021340 150026675 162191000 203426000 240042680 300053350 324382000 480085360 600106700 750133375 1200213400 1500266750 2400426800 3000533500 6001067000 12002134000