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1212111120100 = 225243476198321
BaseRepresentation
bin10001101000110111011…
…100111110011011100100
311021212200002220202110011
4101220313130332123210
5124324400421320400
62324500335540004
7153400146345046
oct21506734763344
94255602822404
101212111120100
11428065144961
12176ab968a604
138a3bc78766a
1442948bcda96
15217e30aa8ba
hex11a3773e6e4

1212111120100 has 144 divisors (see below), whose sum is σ = 2793804685056. Its totient is φ = 455890176000.

The previous prime is 1212111120043. The next prime is 1212111120119. The reversal of 1212111120100 is 10211112121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12278940 + ... + 12377260.

It is an arithmetic number, because the mean of its divisors is an integer number (19401421424).

Almost surely, 21212111120100 is an apocalyptic number.

1212111120100 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 1212111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396902342528).

1212111120100 is an abundant number, since it is smaller than the sum of its proper divisors (1581693564956).

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

1212111120100 is a wasteful number, since it uses less digits than its factorization.

1212111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98486 (or 98479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1212111120100 its reverse (10211112121), we get a palindrome (1222322232221).

The spelling of 1212111120100 in words is "one trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 47 50 61 86 94 100 122 172 188 215 235 244 305 430 470 610 860 940 1075 1175 1220 1525 2021 2150 2350 2623 2867 3050 4042 4300 4700 5246 5734 6100 8084 10105 10492 11468 13115 14335 20210 26230 28670 40420 50525 52460 57340 65575 71675 98321 101050 123281 131150 143350 196642 202100 246562 262300 286700 393284 491605 493124 616405 983210 1232810 1966420 2458025 2465620 3082025 4227803 4621087 4916050 5997581 6164050 8455606 9242174 9832100 11995162 12328100 16911212 18484348 21139015 23105435 23990324 29987905 42278030 46210870 59975810 84556060 92421740 105695075 115527175 119951620 149939525 198706741 211390150 231054350 257895983 281886307 299879050 397413482 422780300 462108700 515791966 563772614 599758100 794826964 993533705 1031583932 1127545228 1289479915 1409431535 1987067410 2578959830 2818863070 3974134820 4967668525 5157919660 5637726140 6447399575 7047157675 9935337050 12121111201 12894799150 14094315350 19870674100 24242222402 25789598300 28188630700 48484444804 60605556005 121211112010 242422224020 303027780025 606055560050 1212111120100