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12002131333120 = 21254671254907
BaseRepresentation
bin1010111010100111011011…
…0001100101000000000000
31120111101121011120001012011
42232221312301211000000
53033120331110124440
641305411503542304
72346061001026465
oct256516661450000
946441534501164
1012002131333120
113908091273a35
12141a1155ba994
13690a4712b446
142d6c98aa366c
1515c30a0c69ea
hexaea76c65000

12002131333120 has 104 divisors (see below), whose sum is σ = 28863295609824. Its totient is φ = 4790568517632.

The previous prime is 12002131333111. The next prime is 12002131333183. The reversal of 12002131333120 is 2133313120021.

It is a junction number, because it is equal to n+sod(n) for n = 12002131333091 and 12002131333100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8936707 + ... + 10191613.

It is an arithmetic number, because the mean of its divisors is an integer number (277531688556).

Almost surely, 212002131333120 is an apocalyptic number.

12002131333120 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 12002131333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431647804912).

12002131333120 is an abundant number, since it is smaller than the sum of its proper divisors (16861164276704).

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

12002131333120 is an equidigital number, since it uses as much as digits as its factorization.

12002131333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255403 (or 1255381 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12002131333120 its reverse (2133313120021), we get a palindrome (14135444453141).

The spelling of 12002131333120 in words is "twelve trillion, two billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 467 512 640 934 1024 1280 1868 2048 2335 2560 3736 4096 4670 5120 7472 9340 10240 14944 18680 20480 29888 37360 59776 74720 119552 149440 239104 298880 478208 597760 956416 1195520 1254907 1912832 2391040 2509814 4782080 5019628 6274535 9564160 10039256 12549070 20078512 25098140 40157024 50196280 80314048 100392560 160628096 200785120 321256192 401570240 586041569 642512384 803140480 1172083138 1285024768 1606280960 2344166276 2570049536 2930207845 3212561920 4688332552 5140099072 5860415690 6425123840 9376665104 11720831380 12850247680 18753330208 23441662760 25700495360 37506660416 46883325520 75013320832 93766651040 150026641664 187533302080 300053283328 375066604160 600106566656 750133208320 1200213133312 1500266416640 2400426266624 3000532833280 6001065666560 12002131333120