Search a number
-
+
120010002120012 = 22348760733831289
BaseRepresentation
bin11011010010011000000001…
…100010111011110101001100
3120201220211210101112101011210
4123102120001202323311030
5111212220441020320022
61103123500041014420
734164302504615664
oct3322300142736514
9521824711471153
10120010002120012
1135269a575a6aa4
12115628aaa84410
1351c6b826aa094
14218c72d5c51a4
15dd1b077d1a0c
hex6d26018bbd4c

120010002120012 has 48 divisors (see below), whose sum is σ = 281060613908480. Its totient is φ = 39855422466432.

The previous prime is 120010002119989. The next prime is 120010002120097. The reversal of 120010002120012 is 210021200010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 120010002120012.

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, 13368337 + ... + 20462952.

Almost surely, 2120010002120012 is an apocalyptic number.

120010002120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120010002120012 is an abundant number, since it is smaller than the sum of its proper divisors (161050611788468).

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

120010002120012 is a wasteful number, since it uses less digits than its factorization.

120010002120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33832390 (or 33832388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120010002120012 its reverse (210021200010021), we get a palindrome (330031202130033).

The spelling of 120010002120012 in words is "one hundred twenty trillion, ten billion, two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 487 607 974 1214 1461 1821 1948 2428 2922 3642 5844 7284 295609 591218 886827 1182436 1773654 3547308 33831289 67662578 101493867 135325156 202987734 405975468 16475837743 20535592423 32951675486 41071184846 49427513229 61606777269 65903350972 82142369692 98855026458 123213554538 197710052916 246427109076 10000833510001 20001667020002 30002500530003 40003334040004 60005001060006 120010002120012