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21202012201200 = 2435292919018669
BaseRepresentation
bin1001101001000011110100…
…11001111110000011110000
32210001220002200111000202120
410310201322121332003300
510234333210110414300
6113032023035114240
74315536425114505
oct464417231760360
983056080430676
1021202012201200
1168347a5174726
122465112ba2980
13baa45872852c
1453427bad94ac
1526b7a65443a0
hex13487a67e0f0

21202012201200 has 120 divisors (see below), whose sum is σ = 67990223756400. Its totient is φ = 5647783649280.

The previous prime is 21202012201187. The next prime is 21202012201243. The reversal of 21202012201200 is 210221020212.

It is a tau number, because it is divible by the number of its divisors (120).

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 21202012201200.

It is a congruent 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, 8394535 + ... + 10624134.

It is an arithmetic number, because the mean of its divisors is an integer number (566585197970).

Almost surely, 221202012201200 is an apocalyptic number.

21202012201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202012201200 is an abundant number, since it is smaller than the sum of its proper divisors (46788211555200).

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

21202012201200 is a wasteful number, since it uses less digits than its factorization.

21202012201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19019619 (or 19019608 counting only the distinct ones).

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

Adding to 21202012201200 its reverse (210221020212), we get a palindrome (21412233221412).

The spelling of 21202012201200 in words is "twenty-one trillion, two hundred two billion, twelve million, two hundred 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 80 100 120 150 200 240 300 400 600 929 1200 1858 2787 3716 4645 5574 7432 9290 11148 13935 14864 18580 22296 23225 27870 37160 44592 46450 55740 69675 74320 92900 111480 139350 185800 222960 278700 371600 557400 1114800 19018669 38037338 57056007 76074676 95093345 114112014 152149352 190186690 228224028 285280035 304298704 380373380 456448056 475466725 570560070 760746760 912896112 950933450 1141120140 1426400175 1521493520 1901866900 2282240280 2852800350 3803733800 4564480560 5705600700 7607467600 11411201400 17668343501 22822402800 35336687002 53005030503 70673374004 88341717505 106010061006 141346748008 176683435010 212020122012 265025152515 282693496016 353366870020 424040244024 441708587525 530050305030 706733740040 848080488048 883417175050 1060100610060 1325125762575 1413467480080 1766834350100 2120201220120 2650251525150 3533668700200 4240402440240 5300503050300 7067337400400 10601006100600 21202012201200