Search a number
-
+
12002120102010 = 2351927432075669
BaseRepresentation
bin1010111010100111011000…
…0110101111000001111010
31120111101120101102110000010
42232221312012233001322
53033120320221231020
641305410423122350
72346060503411643
oct256516606570172
946441511373003
1012002120102010
1139080859a2925
12141a1118a33b6
13690a449c840c
142d6c973bc6ca
1515c309108de0
hexaea761af07a

12002120102010 has 32 divisors (see below), whose sum is σ = 28805251570560. Its totient is φ = 3200547213248.

The previous prime is 12002120101999. The next prime is 12002120102017. The reversal of 12002120102010 is 1020102120021.

It is not an unprimeable number, because it can be changed into a prime (12002120102017) 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, 4744456 + ... + 6820124.

It is an arithmetic number, because the mean of its divisors is an integer number (900164111580).

Almost surely, 212002120102010 is an apocalyptic number.

12002120102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002120102010 is an abundant number, since it is smaller than the sum of its proper divisors (16803131468550).

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

12002120102010 is a wasteful number, since it uses less digits than its factorization.

12002120102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268422.

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

Adding to 12002120102010 its reverse (1020102120021), we get a palindrome (13022222222031).

The spelling of 12002120102010 in words is "twelve trillion, two billion, one hundred twenty million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 192743 385486 578229 963715 1156458 1927430 2075669 2891145 4151338 5782290 6227007 10378345 12454014 20756690 31135035 62270070 400070670067 800141340134 1200212010201 2000353350335 2400424020402 4000706700670 6001060051005 12002120102010