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1121222202200 = 235223756132237
BaseRepresentation
bin10000010100001110000…
…011010001001101011000
310222012001220101100012122
4100110032003101031120
5121332230340432300
62215025443000412
7144001634320112
oct20241603211530
93865056340178
101121222202200
113a2564780681
12161373069108
138196674bc79
143c3a5c1c3b2
151e273b90c85
hex1050e0d1358

1121222202200 has 96 divisors (see below), whose sum is σ = 2720626716960. Its totient is φ = 428919321600.

The previous prime is 1121222202187. The next prime is 1121222202209. The reversal of 1121222202200 is 22022221211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121222202209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34764482 + ... + 34796718.

It is an arithmetic number, because the mean of its divisors is an integer number (28339861635).

Almost surely, 21121222202200 is an apocalyptic number.

1121222202200 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 1121222202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360313358480).

1121222202200 is an abundant number, since it is smaller than the sum of its proper divisors (1599404514760).

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

1121222202200 is a wasteful number, since it uses less digits than its factorization.

1121222202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39837 (or 39828 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1121222202200 its reverse (22022221211), we get a palindrome (1143244423411).

The spelling of 1121222202200 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 7561 15122 30244 32237 37805 60488 64474 75610 128948 151220 161185 173903 189025 257896 302440 322370 347806 378050 644740 695612 741451 756100 805925 869515 1289480 1391224 1482902 1512200 1611850 1739030 2965804 3223700 3478060 3707255 4347575 5931608 6447400 6956120 7414510 8695150 14829020 17390300 18536275 29658040 34780600 37072550 74145100 148290200 243743957 487487914 974975828 1218719785 1949951656 2437439570 4874879140 5606111011 6093598925 9749758280 11212222022 12187197850 22424444044 24374395700 28030555055 44848888088 48748791400 56061110110 112122220220 140152775275 224244440440 280305550550 560611101100 1121222202200