Search a number
-
+
12031112019120 = 243557187792703
BaseRepresentation
bin1010111100010011011000…
…1010000111110010110000
31120121011101212211102121220
42233010312022013302300
53034104204134102440
641331003324345040
72351135112553425
oct257046612076260
946534355742556
1012031112019120
1139194030a22a7
1214238630a5180
136936b528325c
142d84479b3d4c
1515ce544a68d0
hexaf136287cb0

12031112019120 has 80 divisors (see below), whose sum is σ = 37361765455872. Its totient is φ = 3202677768960.

The previous prime is 12031112019107. The next prime is 12031112019127. The reversal of 12031112019120 is 2191021113021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120311120191202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12031112019127) 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, 43759312 + ... + 44033391.

Almost surely, 212031112019120 is an apocalyptic number.

12031112019120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031112019120 is an abundant number, since it is smaller than the sum of its proper divisors (25330653436752).

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

12031112019120 is a wasteful number, since it uses less digits than its factorization.

12031112019120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87793290 (or 87793284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 12031112019120 in words is "twelve trillion, thirty-one billion, one hundred twelve million, nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 571 1142 1713 2284 2855 3426 4568 5710 6852 8565 9136 11420 13704 17130 22840 27408 34260 45680 68520 137040 87792703 175585406 263378109 351170812 438963515 526756218 702341624 877927030 1053512436 1316890545 1404683248 1755854060 2107024872 2633781090 3511708120 4214049744 5267562180 7023416240 10535124360 21070248720 50129633413 100259266826 150388900239 200518533652 250648167065 300777800478 401037067304 501296334130 601555600956 751944501195 802074134608 1002592668260 1203111201912 1503889002390 2005185336520 2406222403824 3007778004780 4010370673040 6015556009560 12031112019120