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2122012021200 = 243521768343351
BaseRepresentation
bin11110111000010001110…
…001011101000111010000
321111212021122222201200020
4132320101301131013100
5234231340034134300
64302501110023440
7306211302400341
oct36702161350720
97455248881606
102122012021200
11748a38513245
122a3315647b80
13125149544616
14749c51000c8
153a2e991c8a0
hex1ee11c5d1d0

2122012021200 has 60 divisors (see below), whose sum is σ = 6797511845088. Its totient is φ = 565869872000.

The previous prime is 2122012021159. The next prime is 2122012021223. The reversal of 2122012021200 is 21202102212.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122012021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884170476 + ... + 884172875.

Almost surely, 22122012021200 is an apocalyptic number.

2122012021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122012021200 is an abundant number, since it is smaller than the sum of its proper divisors (4675499823888).

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

2122012021200 is a wasteful number, since it uses less digits than its factorization.

2122012021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768343372 (or 1768343361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122012021200 its reverse (21202102212), we get a palindrome (2143214123412).

The spelling of 2122012021200 in words is "two trillion, one hundred twenty-two billion, twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1768343351 3536686702 5305030053 7073373404 8841716755 10610060106 14146746808 17683433510 21220120212 26525150265 28293493616 35366867020 42440240424 44208583775 53050300530 70733734040 84880480848 88417167550 106100601060 132625751325 141467468080 176834335100 212201202120 265251502650 353668670200 424402404240 530503005300 707337340400 1061006010600 2122012021200