Search a number
-
+
120213132011112 = 23371756417461697
BaseRepresentation
bin11011010101010101001101…
…000001111110011001101000
3120202122021002212021000002210
4123111111031001332121220
5111224032443243323422
61103401052255325120
734215053322323640
oct3325251501763150
9522567085230083
10120213132011112
1135338115085758
121159613a8207a0
13521008528b80a
1421984bd241520
15dd704590610c
hex6d554d07e668

120213132011112 has 128 divisors (see below), whose sum is σ = 363734497002240. Its totient is φ = 32320485457920.

The previous prime is 120213132011101. The next prime is 120213132011177. The reversal of 120213132011112 is 211110231312021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12379848 + ... + 19841544.

It is an arithmetic number, because the mean of its divisors is an integer number (2841675757830).

Almost surely, 2120213132011112 is an apocalyptic number.

120213132011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120213132011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181867248501120).

120213132011112 is an abundant number, since it is smaller than the sum of its proper divisors (243521364991128).

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

120213132011112 is a wasteful number, since it uses less digits than its factorization.

120213132011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467371 (or 7467367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 120213132011112 its reverse (211110231312021), we get a palindrome (331323363323133).

The spelling of 120213132011112 in words is "one hundred twenty trillion, two hundred thirteen billion, one hundred thirty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 5641 11282 16923 22564 33846 39487 45128 67692 78974 95897 118461 135384 157948 191794 236922 287691 315896 383588 473844 575382 671279 767176 947688 1150764 1342558 2013837 2301528 2685116 4027674 5370232 7461697 8055348 14923394 16110696 22385091 29846788 44770182 52231879 59693576 89540364 104463758 126848849 156695637 179080728 208927516 253697698 313391274 380546547 417855032 507395396 626782548 761093094 887941943 1014790792 1253565096 1522186188 1775883886 2663825829 3044372376 3551767772 5327651658 7103535544 10655303316 21310606632 42091432777 84182865554 126274298331 168365731108 252548596662 294640029439 336731462216 505097193324 589280058878 715554357209 883920088317 1010194386648 1178560117756 1431108714418 1767840176634 2146663071627 2357120235512 2862217428836 3535680353268 4293326143254 5008880500463 5724434857672 7071360706536 8586652286508 10017761000926 15026641501389 17173304573016 20035522001852 30053283002778 40071044003704 60106566005556 120213132011112