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1220222201200 = 245253551910429
BaseRepresentation
bin10001110000011010111…
…010010010110101110000
311022122121101100100222021
4101300122322102311300
5124443003340414300
62332321244321224
7154105146401602
oct21603272226560
94278541310867
101220222201200
11430547692172
121785a1b43214
138b0b3020c32
14430b8131172
1521b1a1e8d1a
hex11c1ae92d70

1220222201200 has 120 divisors (see below), whose sum is σ = 2987724398400. Its totient is φ = 478746977280.

The previous prime is 1220222201111. The next prime is 1220222201201. The reversal of 1220222201200 is 21022220221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116997586 + ... + 117008014.

It is an arithmetic number, because the mean of its divisors is an integer number (24897703320).

Almost surely, 21220222201200 is an apocalyptic number.

1220222201200 is a gapful number since it is divisible by the number (10) 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 1220222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493862199200).

1220222201200 is an abundant number, since it is smaller than the sum of its proper divisors (1767502197200).

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

1220222201200 is a wasteful number, since it uses less digits than its factorization.

1220222201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1220222201200 its reverse (21022220221), we get a palindrome (1241244421421).

The spelling of 1220222201200 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 5519 10429 10600 11038 20858 21200 22076 27595 41716 44152 52145 55190 83432 88304 104290 110380 137975 166864 208580 220760 260725 275950 292507 417160 441520 521450 551900 552737 585014 834320 1042900 1103800 1105474 1170028 1462535 2085800 2207600 2210948 2340056 2763685 2925070 4171600 4421896 4680112 5527370 5850140 7312675 8843792 11054740 11700280 13818425 14625350 22109480 23400560 27636850 29250700 44218960 55273700 57557651 58501400 110547400 115115302 117002800 221094800 230230604 287788255 460461208 575576510 920922416 1151153020 1438941275 2302306040 2877882550 3050555503 4604612080 5755765100 6101111006 11511530200 12202222012 15252777515 23023060400 24404444024 30505555030 48808888048 61011110060 76263887575 122022220120 152527775150 244044440240 305055550300 610111100600 1220222201200