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122220210202220 = 2251312729531253437
BaseRepresentation
bin11011110010100010011100…
…001101101010011001101100
3121000202010201120222012220002
4123302202130031222121230
5112004423442302432340
61111535104530443432
734513055513421464
oct3362423415523154
9530663646865802
10122220210202220
1135a41333426259
121185b119133578
1353274160a4a40
1422276bdba2ba4
15e1e364ee5715
hex6f289c36a66c

122220210202220 has 96 divisors (see below), whose sum is σ = 278676690044928. Its totient is φ = 44756930598912.

The previous prime is 122220210202219. The next prime is 122220210202253. The reversal of 122220210202220 is 22202012022221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122220210202192 and 122220210202201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96881342 + ... + 98134778.

It is an arithmetic number, because the mean of its divisors is an integer number (2902882187968).

Almost surely, 2122220210202220 is an apocalyptic number.

122220210202220 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 122220210202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139338345022464).

122220210202220 is an abundant number, since it is smaller than the sum of its proper divisors (156456479842708).

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

122220210202220 is a wasteful number, since it uses less digits than its factorization.

122220210202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256539 (or 1256537 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122220210202220 its reverse (22202012022221), we get a palindrome (144422222224441).

The spelling of 122220210202220 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred ten million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 2953 3302 5906 6604 8255 11812 14765 16510 29530 33020 38389 59060 76778 153556 191945 375031 383890 750062 767780 1253437 1500124 1875155 2506874 3750310 4875403 5013748 6267185 7500620 9750806 12534370 16294681 19501612 24377015 25068740 32589362 48754030 65178724 81473405 97508060 159186499 162946810 318372998 325893620 636745996 795932495 1591864990 2069424487 3183729980 3701399461 4138848974 7402798922 8277697948 10347122435 14805597844 18506997305 20694244870 37013994610 41388489740 48118192993 74027989220 96236385986 192472771972 240590964965 470077731547 481181929930 940155463094 962363859860 1880310926188 2350388657735 4700777315470 6111010510111 9401554630940 12222021020222 24444042040444 30555052550555 61110105101110 122220210202220