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1222121010200 = 235229440947791
BaseRepresentation
bin10001110010001100000…
…101101011010000011000
311022211111201021212020112
4101302030011223100120
5130010400434311300
62333233514343452
7154203204121106
oct21621405532030
94284451255215
101222121010200
114313314a4502
12178a31a2ab88
138b32652865c
14432183a8c76
1521bcbc6de35
hex11c8c16b418

1222121010200 has 96 divisors (see below), whose sum is σ = 2940139944000. Its totient is φ = 471874636800.

The previous prime is 1222121010133. The next prime is 1222121010203. The reversal of 1222121010200 is 20101212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222121010203) 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, 25548305 + ... + 25596095.

It is an arithmetic number, because the mean of its divisors is an integer number (30626457750).

Almost surely, 21222121010200 is an apocalyptic number.

1222121010200 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 1222121010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470069972000).

1222121010200 is an abundant number, since it is smaller than the sum of its proper divisors (1718018933800).

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

1222121010200 is a wasteful number, since it uses less digits than its factorization.

1222121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52245 (or 52236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222121010200 its reverse (20101212221), we get a palindrome (1242222222421).

The spelling of 1222121010200 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 4409 5800 8818 17636 22045 35272 44090 47791 88180 95582 110225 127861 176360 191164 220450 238955 255722 382328 440900 477910 511444 639305 881800 955820 1022888 1194775 1278610 1385939 1911640 2389550 2557220 2771878 3196525 4779100 5114440 5543756 6393050 6929695 9558200 11087512 12786100 13859390 25572200 27718780 34648475 55437560 69296950 138593900 210710519 277187800 421421038 842842076 1053552595 1685684152 2107105190 4214210380 5267762975 6110605051 8428420760 10535525950 12221210102 21071051900 24442420204 30553025255 42142103800 48884840408 61106050510 122212101020 152765126275 244424202040 305530252550 611060505100 1222121010200