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1212210001100 = 225276130239391
BaseRepresentation
bin10001101000111101010…
…110001011010011001100
311021212220222222102200102
4101220331112023103030
5124330101230013400
62324514231150232
7153402456666620
oct21507526132314
94255828872612
101212210001100
11428105a4169a
12176b26815378
138a4070c8a27
1442957dad180
15217ebadd9d5
hex11a3d58b4cc

1212210001100 has 144 divisors (see below), whose sum is σ = 3056900345856. Its totient is φ = 408622752000.

The previous prime is 1212210001031. The next prime is 1212210001103. The reversal of 1212210001100 is 11000122121.

It is not an unprimeable number, because it can be changed into a prime (1212210001103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129077405 + ... + 129086795.

It is an arithmetic number, because the mean of its divisors is an integer number (21228474624).

Almost surely, 21212210001100 is an apocalyptic number.

1212210001100 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 1212210001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528450172928).

1212210001100 is an abundant number, since it is smaller than the sum of its proper divisors (1844690344756).

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

1212210001100 is a wasteful number, since it uses less digits than its factorization.

1212210001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1212210001100 its reverse (11000122121), we get a palindrome (1223210123221).

The spelling of 1212210001100 in words is "one trillion, two hundred twelve billion, two hundred ten million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3023 3050 4270 6046 6100 8540 9391 10675 12092 15115 18782 21161 21350 30230 37564 42322 42700 46955 60460 65737 75575 84644 93910 105805 131474 151150 184403 187820 211610 234775 262948 302300 328685 368806 423220 469550 529025 572851 657370 737612 922015 939100 1058050 1145702 1290821 1314740 1643425 1844030 2116100 2291404 2581642 2864255 3286850 3688060 4009957 4610075 5163284 5728510 6454105 6573700 8019914 9220150 11457020 12908210 14321275 16039828 18440300 20049785 25816420 28388993 28642550 32270525 40099570 56777986 57285100 64541050 80199140 100248925 113555972 129082100 141944965 198722951 200497850 283889930 397445902 400995700 567779860 709724825 794891804 993614755 1419449650 1731728573 1987229510 2838899300 3463457146 3974459020 4968073775 6926914292 8658642865 9936147550 12122100011 17317285730 19872295100 24244200022 34634571460 43293214325 48488400044 60610500055 86586428650 121221000110 173172857300 242442000220 303052500275 606105000550 1212210001100