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122221012120100 = 22522383640235789
BaseRepresentation
bin11011110010100011001100…
…000000101111001000100100
3121000202012210110220212102022
4123302203030000233020210
5112004432113100320400
61111535320254402312
734513114421543465
oct3362431400571044
9530665713825368
10122221012120100
1135a41705057003
121185b301800398
13532751327986a
1422277584aad6c
15e1e3b05eab85
hex6f28cc02f224

122221012120100 has 72 divisors (see below), whose sum is σ = 280085231522880. Its totient is φ = 46199414462080.

The previous prime is 122221012120099. The next prime is 122221012120157. The reversal of 122221012120100 is 1021210122221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319926995 + ... + 320308794.

It is an arithmetic number, because the mean of its divisors is an integer number (3890072660040).

Almost surely, 2122221012120100 is an apocalyptic number.

122221012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221012120100 is an abundant number, since it is smaller than the sum of its proper divisors (157864219402780).

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

122221012120100 is a wasteful number, since it uses less digits than its factorization.

122221012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640235909 (or 640235902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122221012120100 its reverse (1021210122221), we get a palindrome (123242222242321).

The spelling of 122221012120100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1150 1660 1909 2075 2300 3818 4150 7636 8300 9545 19090 38180 47725 95450 190900 640235789 1280471578 2560943156 3201178945 6402357890 12804715780 14725423147 16005894725 29450846294 32011789450 53139570487 58901692588 64023578900 73627115735 106279140974 147254231470 212558281948 265697852435 294508462940 368135578675 531395704870 736271157350 1062791409740 1222210121201 1328489262175 1472542314700 2444420242402 2656978524350 4888840484804 5313957048700 6111050606005 12222101212010 24444202424020 30555253030025 61110506060050 122221012120100