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12002122000 = 245311545551
BaseRepresentation
bin10110010110110000…
…11101100100010000
31010222110002222012001
423023120131210100
5144040020401000
65302543043344
7603265232221
oct131330354420
933873088161
1012002122000
1150a99809a0
1223ab5a0554
13119372864b
1481c011248
154a3a3e46a
hex2cb61d910

12002122000 has 80 divisors (see below), whose sum is σ = 31659473664. Its totient is φ = 4364400000.

The previous prime is 12002121979. The next prime is 12002122001. The reversal of 12002122000 is 22120021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12002122001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250776 + ... + 294775.

Almost surely, 212002122000 is an apocalyptic number.

12002122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122000 is an abundant number, since it is smaller than the sum of its proper divisors (19657351664).

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

12002122000 is a wasteful number, since it uses less digits than its factorization.

12002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545585 (or 545569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002122000 its reverse (22120021), we get a palindrome (12024242021).

The spelling of 12002122000 in words is "twelve billion, two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 545551 1091102 2182204 2727755 4364408 5455510 6001061 8728816 10911020 12002122 13638775 21822040 24004244 27277550 30005305 43644080 48008488 54555100 60010610 68193875 96016976 109110200 120021220 136387750 150026525 218220400 240042440 272775500 300053050 480084880 545551000 600106100 750132625 1091102000 1200212200 1500265250 2400424400 3000530500 6001061000 12002122000