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12102120001000 = 235363119179271
BaseRepresentation
bin1011000000011011111010…
…0100000100110111101000
31120211221200112212122200201
42300012332210010313220
53041240120210013000
641423345344041544
72356230546466651
oct260067644046750
946757615778621
1012102120001000
11394653126a047
12143557b6032b4
1369a2c04a0b93
142dba62414528
1515ec0d32396a
hexb01be904de8

12102120001000 has 64 divisors (see below), whose sum is σ = 28363841775360. Its totient is φ = 4833176040000.

The previous prime is 12102120000973. The next prime is 12102120001079. The reversal of 12102120001000 is 10002120121.

It is a super-2 number, since 2×121021200010002 (a number of 27 digits) contains 22 as substring.

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

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, 8958636 + ... + 10220635.

It is an arithmetic number, because the mean of its divisors is an integer number (443185027740).

Almost surely, 212102120001000 is an apocalyptic number.

12102120001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102120001000 is an abundant number, since it is smaller than the sum of its proper divisors (16261721774360).

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

12102120001000 is a wasteful number, since it uses less digits than its factorization.

12102120001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19179923 (or 19179909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12102120001000 its reverse (10002120121), we get a palindrome (12112122121121).

The spelling of 12102120001000 in words is "twelve trillion, one hundred two billion, one hundred twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 631 1000 1262 2524 3155 5048 6310 12620 15775 25240 31550 63100 78875 126200 157750 315500 631000 19179271 38358542 76717084 95896355 153434168 191792710 383585420 479481775 767170840 958963550 1917927100 2397408875 3835854200 4794817750 9589635500 12102120001 19179271000 24204240002 48408480004 60510600005 96816960008 121021200010 242042400020 302553000025 484084800040 605106000050 1210212000100 1512765000125 2420424000200 3025530000250 6051060000500 12102120001000