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12120212110000 = 24549091133321
BaseRepresentation
bin1011000001011111010011…
…1011111111101010110000
31120220200101102101000111211
42300113310323333222300
53042034143300010000
641435540520445504
72360441104050301
oct260276473775260
946820342330454
1012120212110000
113953175843345
121438b8a619894
1369bc14811317
142dc89b17a7a8
1516041b8237ba
hexb05f4effab0

12120212110000 has 100 divisors (see below), whose sum is σ = 29347693500664. Its totient is φ = 4847515200000.

The previous prime is 12120212109997. The next prime is 12120212110049. The reversal of 12120212110000 is 1121202121.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90843340 + ... + 90976660.

Almost surely, 212120212110000 is an apocalyptic number.

12120212110000 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 12120212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673846750332).

12120212110000 is an abundant number, since it is smaller than the sum of its proper divisors (17227481390664).

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

12120212110000 is an equidigital number, since it uses as much as digits as its factorization.

12120212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142440 (or 142419 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120212110000 its reverse (1121202121), we get a palindrome (12121333312121).

It can be divided in two parts, 121202121 and 10000, that added together give a palindrome (121212121).

The spelling of 12120212110000 in words is "twelve trillion, one hundred twenty billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9091 10000 18182 36364 45455 72728 90910 133321 145456 181820 227275 266642 363640 454550 533284 666605 727280 909100 1066568 1136375 1333210 1818200 2133136 2272750 2666420 3333025 3636400 4545500 5332840 5681875 6666050 9091000 10665680 11363750 13332100 16665125 18182000 22727500 26664200 33330250 45455000 53328400 66660500 83325625 90910000 133321000 166651250 266642000 333302500 666605000 1212021211 1333210000 2424042422 4848084844 6060106055 9696169688 12120212110 19392339376 24240424220 30300530275 48480848440 60601060550 96961696880 121202121100 151502651375 242404242200 303005302750 484808484400 606010605500 757513256875 1212021211000 1515026513750 2424042422000 3030053027500 6060106055000 12120212110000