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12002121122103 = 3277383137229507
BaseRepresentation
bin1010111010100111011000…
…1010101000000100110111
31120111101120110100021022100
42232221312022220010313
53033120321001401403
641305410501033143
72346060515160660
oct256516612500467
946441513307270
1012002121122103
11390808652a282
12141a1120b57b3
13690a44c94818
142d6c975a6367
1515c30925b2a3
hexaea762a8137

12002121122103 has 96 divisors (see below), whose sum is σ = 20474875040256. Its totient is φ = 6634096763904.

The previous prime is 12002121122027. The next prime is 12002121122119. The reversal of 12002121122103 is 30122112120021.

12002121122103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002121122103 - 29 = 12002121121591 is a prime.

It is a super-2 number, since 2×120021211221032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002121122183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52180476 + ... + 52409982.

It is an arithmetic number, because the mean of its divisors is an integer number (213279948336).

Almost surely, 212002121122103 is an apocalyptic number.

12002121122103 is a deficient number, since it is larger than the sum of its proper divisors (8472753918153).

12002121122103 is a wasteful number, since it uses less digits than its factorization.

12002121122103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229813 (or 229810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12002121122103 its reverse (30122112120021), we get a palindrome (42124233242124).

The spelling of 12002121122103 in words is "twelve trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 3 7 9 21 63 73 83 137 219 249 411 511 581 657 747 959 1233 1533 1743 2877 4599 5229 6059 8631 10001 11371 18177 30003 34113 42413 54531 70007 79597 90009 102339 127239 210021 229507 238791 381717 630063 688521 716373 830083 1606549 2065563 2490249 4819647 5810581 7470747 14458941 16754011 17431743 19049081 31442459 50262033 52295229 57147243 94327377 117278077 133343567 150786099 171441729 220097213 282982131 351834231 400030701 660291639 1055502693 1200092103 1390582913 1980874917 2295299507 2609724097 4171748739 6885898521 7829172291 9734080391 12515246217 16067096549 18268068679 20657695563 23487516873 29202241173 48201289647 54804206037 87606723519 144603868941 164412618111 190509859081 571529577243 1333569013567 1714588731729 4000707040701 12002121122103