Search a number
-
+
121212112111000 = 23532394871104119
BaseRepresentation
bin11011100011110111100100…
…111000101000010110011000
3120220011202122111120010122121
4123203313210320220112120
5111341414401200023000
61105444024154031024
734350200064140161
oct3343674470502630
9526152574503577
10121212112111000
113569284a325599
1211717877118474
13528333a170361
1421d09aa03a768
15e03012859b1a
hex6e3de4e28598

121212112111000 has 128 divisors (see below), whose sum is σ = 284884314624000. Its totient is φ = 48271603632000.

The previous prime is 121212112110989. The next prime is 121212112111007. The reversal of 121212112111000 is 111211212121.

It is a super-2 number, since 2×1212121121110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212112111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164116941 + ... + 1164221059.

It is an arithmetic number, because the mean of its divisors is an integer number (2225658708000).

Almost surely, 2121212112111000 is an apocalyptic number.

121212112111000 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 121212112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442157312000).

121212112111000 is an abundant number, since it is smaller than the sum of its proper divisors (163672202513000).

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

121212112111000 is a wasteful number, since it uses less digits than its factorization.

121212112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109250 (or 109236 counting only the distinct ones).

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

Adding to 121212112111000 its reverse (111211212121), we get a palindrome (121323323323121).

The spelling of 121212112111000 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 478 500 956 1000 1195 1912 2390 4780 4871 5975 9560 9742 11950 19484 23900 24355 29875 38968 47800 48710 59750 97420 104119 119500 121775 194840 208238 239000 243550 416476 487100 520595 608875 832952 974200 1041190 1164169 1217750 2082380 2328338 2435500 2602975 4164760 4656676 4871000 5205950 5820845 9313352 10411900 11641690 13014875 20823800 23283380 24884441 26029750 29104225 46566760 49768882 52059500 58208450 99537764 104119000 116416900 124422205 145521125 199075528 232833800 248844410 291042250 497688820 507163649 582084500 622111025 995377640 1014327298 1164169000 1244222050 2028654596 2488444100 2535818245 3110555125 4057309192 4976888200 5071636490 6221110250 10143272980 12442220500 12679091225 20286545960 24884441000 25358182450 50716364900 63395456125 101432729800 121212112111 126790912250 242424224222 253581824500 484848448444 507163649000 606060560555 969696896888 1212121121110 2424242242220 3030302802775 4848484484440 6060605605550 12121211211100 15151514013875 24242422422200 30303028027750 60606056055500 121212112111000