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120100332000120 = 23353073978211719
BaseRepresentation
bin11011010011101100001001…
…101000000101001101111000
3120202020110221122010201201220
4123103230021220011031320
5111220210434443000440
61103233155243512040
734203651121131063
oct3323541150051570
9522213848121656
10120100332000120
11352a42a044a97a
12115782ba228620
13520254995c694
142192c5c2338da
15dd4142ac08d0
hex6d3b09a05378

120100332000120 has 128 divisors (see below), whose sum is σ = 362385174412800. Its totient is φ = 31842020491776.

The previous prime is 120100332000119. The next prime is 120100332000157. The reversal of 120100332000120 is 21000233001021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120100332000120.

It is a congruent number.

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, 10519621 + ... + 18731339.

It is an arithmetic number, because the mean of its divisors is an integer number (2831134175100).

Almost surely, 2120100332000120 is an apocalyptic number.

120100332000120 is a gapful number since it is divisible by the number (10) 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 120100332000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181192587206400).

120100332000120 is an abundant number, since it is smaller than the sum of its proper divisors (242284842412680).

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

120100332000120 is a wasteful number, since it uses less digits than its factorization.

120100332000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212437 (or 8212433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120100332000120 its reverse (21000233001021), we get a palindrome (141100565001141).

The spelling of 120100332000120 in words is "one hundred twenty trillion, one hundred billion, three hundred thirty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 397 614 794 921 1191 1228 1535 1588 1842 1985 2382 2456 3070 3176 3684 3970 4605 4764 5955 6140 7368 7940 9210 9528 11910 12280 15880 18420 23820 36840 47640 121879 243758 365637 487516 609395 731274 975032 1218790 1462548 1828185 2437580 2925096 3656370 4875160 7312740 8211719 14625480 16423438 24635157 32846876 41058595 49270314 65693752 82117190 98540628 123175785 164234380 197081256 246351570 328468760 492703140 985406280 2520997733 3260052443 5041995466 6520104886 7562993199 9780157329 10083990932 12604988665 13040209772 15125986398 16300262215 19560314658 20167981864 25209977330 26080419544 30251972796 32600524430 37814965995 39120629316 48900786645 50419954660 60503945592 65201048860 75629931990 78241258632 97801573290 100839909320 130402097720 151259863980 195603146580 302519727960 391206293160 1000836100001 2001672200002 3002508300003 4003344400004 5004180500005 6005016600006 8006688800008 10008361000010 12010033200012 15012541500015 20016722000020 24020066400024 30025083000030 40033444000040 60050166000060 120100332000120