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212120100122000 = 2453715151435723
BaseRepresentation
bin110000001110110000001111…
…001101111010110110010000
31000211001111001111021111102112
4300032300033031322312100
5210300333431112401000
62031050343450004452
762452112552453360
oct6016601715726620
91024044044244375
10212120100122000
11616516a1617424
121b95a368416728
139148abb81ccc5
143a5494bd6c9a0
15197cae5b41235
hexc0ec0f37ad90

212120100122000 has 80 divisors (see below), whose sum is σ = 586178745290112. Its totient is φ = 72726891465600.

The previous prime is 212120100121973. The next prime is 212120100122023. The reversal of 212120100122000 is 221001021212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 7575703862 + ... + 7575731861.

Almost surely, 2212120100122000 is an apocalyptic number.

212120100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120100122000 is an abundant number, since it is smaller than the sum of its proper divisors (374058645168112).

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

212120100122000 is a wasteful number, since it uses less digits than its factorization.

212120100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151435753 (or 15151435737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120100122000 its reverse (221001021212), we get a palindrome (212341101143212).

The spelling of 212120100122000 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 15151435723 30302871446 60605742892 75757178615 106060050061 121211485784 151514357230 212120100122 242422971568 303028714460 378785893075 424240200244 530300250305 606057428920 757571786150 848480400488 1060600500610 1212114857840 1515143572300 1696960800976 1893929465375 2121201001220 2651501251525 3030287144600 3787858930750 4242402002440 5303002503050 6060574289200 7575717861500 8484804004880 10606005006100 13257506257625 15151435723000 21212010012200 26515012515250 30302871446000 42424020024400 53030025030500 106060050061000 212120100122000