Search a number
-
+
20122112120200 = 2352595213273059
BaseRepresentation
bin1001001001101000010110…
…10110000101010110001000
32122020122200120221221101021
410210310023112011112020
510114140041200321300
6110443545400402224
74144526460641056
oct444641326052610
978218616857337
1020122112120200
116458815789342
12230b972776374
13b2c678c4086c
144d7cb5cc71d6
1524d650499d1a
hex124d0b585588

20122112120200 has 96 divisors (see below), whose sum is σ = 47668191228000. Its totient is φ = 7897234342400.

The previous prime is 20122112120183. The next prime is 20122112120263. The reversal of 20122112120200 is 202121122102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4511271 + ... + 7784329.

It is an arithmetic number, because the mean of its divisors is an integer number (496543658625).

Almost surely, 220122112120200 is an apocalyptic number.

20122112120200 is a gapful number since it is divisible by the number (20) 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 20122112120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23834095614000).

20122112120200 is an abundant number, since it is smaller than the sum of its proper divisors (27546079107800).

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

20122112120200 is a wasteful number, since it uses less digits than its factorization.

20122112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273655 (or 3273646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122112120200 its reverse (202121122102), we get a palindrome (20324233242302).

The spelling of 20122112120200 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 521 590 1042 1180 1475 2084 2360 2605 2950 4168 5210 5900 10420 11800 13025 20840 26050 30739 52100 61478 104200 122956 153695 245912 307390 614780 768475 1229560 1536950 3073900 3273059 6147800 6546118 13092236 16365295 26184472 32730590 65461180 81826475 130922360 163652950 193110481 327305900 386220962 654611800 772441924 965552405 1544883848 1705263739 1931104810 3410527478 3862209620 4827762025 6821054956 7724419240 8526318695 9655524050 13642109912 17052637390 19311048100 34105274780 38622096200 42631593475 68210549560 85263186950 100610560601 170526373900 201221121202 341052747800 402442242404 503052803005 804884484808 1006105606010 2012211212020 2515264015025 4024422424040 5030528030050 10061056060100 20122112120200