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212203202211220 = 22511311981665351
BaseRepresentation
bin110000001111111101101000…
…011111001110110110010100
31000211100102120000112000211211
4300033331220133032312110
5210303214124231224340
62031152445540111204
762461114112534023
oct6017755037166624
91024312500460754
10212203202211220
1161683966582000
121b97249b095504
1391538a3531a6c
143a58992ac68ba
15197ed5b61c5ea
hexc0ff687ced94

212203202211220 has 96 divisors (see below), whose sum is σ = 490197564364032. Its totient is φ = 77158244240000.

The previous prime is 212203202211179. The next prime is 212203202211263. The reversal of 212203202211220 is 22112202302212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212203202211191 and 212203202211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318601545 + ... + 319266895.

It is an arithmetic number, because the mean of its divisors is an integer number (5106224628792).

Almost surely, 2212203202211220 is an apocalyptic number.

212203202211220 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 212203202211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245098782182016).

212203202211220 is an abundant number, since it is smaller than the sum of its proper divisors (277994362152812).

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

212203202211220 is a wasteful number, since it uses less digits than its factorization.

212203202211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677374 (or 677350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212203202211220 its reverse (22112202302212), we get a palindrome (234315404513432).

The spelling of 212203202211220 in words is "two hundred twelve trillion, two hundred three billion, two hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 11981 13310 23962 26620 47924 59905 119810 131791 239620 263582 527164 658955 665351 1317910 1330702 1449701 2635820 2661404 2899402 3326755 5798804 6653510 7248505 7318861 13307020 14497010 14637722 15946711 28994020 29275444 31893422 36594305 63786844 73188610 79733555 80507471 146377220 159467110 161014942 318934220 322029884 402537355 805074710 885582181 1610149420 1771164362 3542328724 4427910905 7971570331 8855821810 15943140662 17711643620 31886281324 39857851655 79715703310 87687273641 159431406620 175374547282 350749094564 438436368205 876872736410 964560010051 1753745472820 1929120020102 3858240040204 4822800050255 9645600100510 10610160110561 19291200201020 21220320221122 42440640442244 53050800552805 106101601105610 212203202211220