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122211210020020 = 2251117311054090133
BaseRepresentation
bin11011110010011010000011…
…110000101100010010110100
3121000201021111100112120221121
4123302122003300230102310
5112004302024231120040
61111531015501353324
734512316466221312
oct3362320360542264
9530637440476847
10122211210020020
1135a38535020150
1211859426b68844
13532661058c844
1422270a87410b2
15e1ded9ccec4a
hex6f2683c2c4b4

122211210020020 has 96 divisors (see below), whose sum is σ = 306006582260736. Its totient is φ = 40477061068800.

The previous prime is 122211210019967. The next prime is 122211210020021. The reversal of 122211210020020 is 20020012112221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122211210019976 and 122211210020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211210020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526929127 + ... + 527161006.

It is an arithmetic number, because the mean of its divisors is an integer number (3187568565216).

Almost surely, 2122211210020020 is an apocalyptic number.

122211210020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211210020020 is an abundant number, since it is smaller than the sum of its proper divisors (183795372240716).

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

122211210020020 is a wasteful number, since it uses less digits than its factorization.

122211210020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054090201 (or 1054090199 counting only the distinct ones).

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

Adding to 122211210020020 its reverse (20020012112221), we get a palindrome (142231222132241).

The spelling of 122211210020020 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 124 155 170 187 220 310 340 341 374 527 620 682 748 935 1054 1364 1705 1870 2108 2635 3410 3740 5270 5797 6820 10540 11594 23188 28985 57970 115940 1054090133 2108180266 4216360532 5270450665 10540901330 11594991463 17919532261 21081802660 23189982926 32676794123 35839064522 46379965852 57974957315 65353588246 71678129044 89597661305 115949914630 130707176492 163383970615 179195322610 197114854871 231899829260 326767941230 358390645220 359444735353 394229709742 555505500091 653535882460 718889470706 788459419484 985574274355 1111011000182 1437778941412 1797223676765 1971148548710 2222022000364 2777527500455 3594447353530 3942297097420 5555055000910 6110560501001 7188894707060 11110110001820 12221121002002 24442242004004 30552802505005 61105605010010 122211210020020