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1222201201120 = 25579379255127
BaseRepresentation
bin10001110010010000110…
…111100101000111100000
311022211201022011222111121
4101302100313211013200
5130011032001413440
62333245501222024
7154205166540634
oct21622067450740
94284638158447
101222201201120
11431372796099
12178a54861914
138b33a0248c3
1443224cc0dc4
1521bd3d0e34a
hex11c90de51e0

1222201201120 has 96 divisors (see below), whose sum is σ = 2931726873600. Its totient is φ = 481416638976.

The previous prime is 1222201201099. The next prime is 1222201201237. The reversal of 1222201201120 is 211021022221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222201201094 and 1222201201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662997 + ... + 4918123.

It is an arithmetic number, because the mean of its divisors is an integer number (30538821600).

Almost surely, 21222201201120 is an apocalyptic number.

1222201201120 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 1222201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465863436800).

1222201201120 is an abundant number, since it is smaller than the sum of its proper divisors (1709525672480).

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

1222201201120 is a wasteful number, since it uses less digits than its factorization.

1222201201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255600 (or 255592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222201201120 its reverse (211021022221), we get a palindrome (1433222223341).

The spelling of 1222201201120 in words is "one trillion, two hundred twenty-two billion, two hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 379 395 632 758 790 1264 1516 1580 1895 2528 3032 3160 3790 6064 6320 7580 12128 12640 15160 29941 30320 59882 60640 119764 149705 239528 255127 299410 479056 510254 598820 958112 1020508 1197640 1275635 2041016 2395280 2551270 4082032 4790560 5102540 8164064 10205080 20155033 20410160 40310066 40820320 80620132 96693133 100775165 161240264 193386266 201550330 322480528 386772532 403100660 483465665 644961056 773545064 806201320 966931330 1547090128 1612402640 1933862660 3094180256 3224805280 3867725320 7638757507 7735450640 15277515014 15470901280 30555030028 38193787535 61110060056 76387575070 122220120112 152775150140 244440240224 305550300280 611100600560 1222201201120