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212201121100020 = 223513452360148733
BaseRepresentation
bin110000001111111011101100…
…011100011011000011110100
31000211100020011222112121222020
4300033323230130123003310
5210303200344000200040
62031151503234433140
762461011412430313
oct6017735434330364
91024306158477866
10212201121100020
1161682a98875398
121b971bba1327b0
139153631328610
143a5883655627a
15197ec88a86cd0
hexc0feec71b0f4

212201121100020 has 96 divisors (see below), whose sum is σ = 640009476392832. Its totient is φ = 52222572691968.

The previous prime is 212201121099973. The next prime is 212201121100021. The reversal of 212201121100020 is 20001121102212.

It is a super-2 number, since 2×2122011211000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201121100021) 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, 26546427 + ... + 33602306.

It is an arithmetic number, because the mean of its divisors is an integer number (6666765379092).

Almost surely, 2212201121100020 is an apocalyptic number.

212201121100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201121100020 is an abundant number, since it is smaller than the sum of its proper divisors (427808355292812).

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

212201121100020 is a wasteful number, since it uses less digits than its factorization.

212201121100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60153281 (or 60153279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212201121100020 its reverse (20001121102212), we get a palindrome (232202242202232).

The spelling of 212201121100020 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4523 9046 13569 18092 22615 27138 45230 54276 58799 67845 90460 117598 135690 176397 235196 271380 293995 352794 587990 705588 881985 1175980 1763970 3527940 60148733 120297466 180446199 240594932 300743665 360892398 601487330 721784796 781933529 902230995 1202974660 1563867058 1804461990 2345800587 3127734116 3608923980 3909667645 4691601174 7819335290 9383202348 11729002935 15638670580 23458005870 46916011740 272052719359 544105438718 816158158077 1088210877436 1360263596795 1632316316154 2720527193590 3264632632308 3536685351667 4080790790385 5441054387180 7073370703334 8161581580770 10610056055001 14146741406668 16323163161540 17683426758335 21220112110002 35366853516670 42440224220004 53050280275005 70733707033340 106100560550010 212201121100020