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1222131120444 = 223413752338569
BaseRepresentation
bin10001110010001100101…
…100001111100100111100
311022211112102022111220000
4101302030230033210330
5130010411031323234
62333234515154300
7154203356060043
oct21621454174474
94284472274800
101222131120444
1143133717a483
12178a352a5990
138b328658450
144321987b55a
1521bccab9899
hex11c8cb0f93c

1222131120444 has 120 divisors (see below), whose sum is σ = 3441199663440. Its totient is φ = 375980610816.

The previous prime is 1222131120421. The next prime is 1222131120467. The reversal of 1222131120444 is 4440211312221.

1222131120444 is a `hidden beast` number, since 1 + 2 + 2 + 213 + 1 + 1 + 2 + 0 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (1222131120421) and next prime (1222131120467).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31667592 + ... + 31706160.

It is an arithmetic number, because the mean of its divisors is an integer number (28676663862).

Almost surely, 21222131120444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222131120444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720599831720).

1222131120444 is an abundant number, since it is smaller than the sum of its proper divisors (2219068542996).

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

1222131120444 is a wasteful number, since it uses less digits than its factorization.

1222131120444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46121 (or 46110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1222131120444 its reverse (4440211312221), we get a palindrome (5662342432665).

The spelling of 1222131120444 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 7523 15046 22569 30092 38569 45138 67707 77138 90276 97799 115707 135414 154276 195598 203121 231414 270828 293397 347121 391196 406242 462828 501397 586794 609363 694242 812484 880191 1002794 1041363 1173588 1218726 1388484 1504191 1760382 2005588 2082726 2437452 2640573 3008382 3124089 3520764 4165452 4512573 5281146 6016764 6248178 7921719 9025146 10562292 12496356 13537719 15843438 18050292 27075438 31686876 40613157 54150876 81226314 162452628 290154587 580309174 870463761 1160618348 1740927522 2611391283 3481855044 3772009631 5222782566 7544019262 7834173849 10445565132 11316028893 15088038524 15668347698 22632057786 23502521547 31336695396 33948086679 45264115572 47005043094 67896173358 94010086188 101844260037 135792346716 203688520074 305532780111 407377040148 611065560222 1222131120444