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12100131322120 = 2354317094116419
BaseRepresentation
bin1011000000010100100000…
…0001110111100100001000
31120211202112221211022010101
42300011020001313210020
53041222032104301440
641422420143455144
72356130351136232
oct260051001674410
946752487738111
1012100131322120
113945700755186
1214351055b74b4
1369a06448b80a
142db914265252
1515eb4394a69a
hexb0148077908

12100131322120 has 64 divisors (see below), whose sum is σ = 27874749672000. Its totient is φ = 4724725786368.

The previous prime is 12100131322067. The next prime is 12100131322141. The reversal of 12100131322120 is 2122313100121.

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, 881271 + ... + 4997689.

It is an arithmetic number, because the mean of its divisors is an integer number (435542963625).

Almost surely, 212100131322120 is an apocalyptic number.

12100131322120 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 12100131322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937374836000).

12100131322120 is an abundant number, since it is smaller than the sum of its proper divisors (15774618349880).

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

12100131322120 is a wasteful number, since it uses less digits than its factorization.

12100131322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118182 (or 4118178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12100131322120 its reverse (2122313100121), we get a palindrome (14222444422241).

The spelling of 12100131322120 in words is "twelve trillion, one hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1709 1720 3418 6836 8545 13672 17090 34180 68360 73487 146974 293948 367435 587896 734870 1469740 2939480 4116419 8232838 16465676 20582095 32931352 41164190 82328380 164656760 177006017 354012034 708024068 885030085 1416048136 1770060170 3540120340 7034960071 7080240680 14069920142 28139840284 35174800355 56279680568 70349600710 140699201420 281398402840 302503283053 605006566106 1210013132212 1512516415265 2420026264424 3025032830530 6050065661060 12100131322120