Search a number
-
+
20121021200120 = 23517122924076271
BaseRepresentation
bin1001001001100110010100…
…10100100011011011111000
32122020112212120012110100212
410210303022110203123320
510114130322411400440
6110443245230250252
74144460443163051
oct444631224433370
978215776173325
1020121021200120
116458305a059a5
12230b709356988
13b2c533c1ba19
144d7c1106d728
1524d5d9809465
hex124cca5236f8

20121021200120 has 64 divisors (see below), whose sum is σ = 47974379587200. Its totient is φ = 7568808847360.

The previous prime is 20121021200113. The next prime is 20121021200167. The reversal of 20121021200120 is 2100212012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121021200095 and 20121021200104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11202416 + ... + 12873855.

It is an arithmetic number, because the mean of its divisors is an integer number (749599681050).

Almost surely, 220121021200120 is an apocalyptic number.

20121021200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121021200120 is an abundant number, since it is smaller than the sum of its proper divisors (27853358387080).

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

20121021200120 is a wasteful number, since it uses less digits than its factorization.

20121021200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24077528 (or 24077524 counting only the distinct ones).

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

Adding to 20121021200120 its reverse (2100212012102), we get a palindrome (22221233212222).

The spelling of 20121021200120 in words is "twenty trillion, one hundred twenty-one billion, twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1229 2458 4916 6145 9832 12290 20893 24580 41786 49160 83572 104465 167144 208930 417860 835720 24076271 48152542 96305084 120381355 192610168 240762710 409296607 481525420 818593214 963050840 1637186428 2046483035 3274372856 4092966070 8185932140 16371864280 29589737059 59179474118 118358948236 147948685295 236717896472 295897370590 503025530003 591794741180 1006051060006 1183589482360 2012102120012 2515127650015 4024204240024 5030255300030 10060510600060 20121021200120