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122020011100 = 225213224129959
BaseRepresentation
bin111000110100011110…
…1011001110001011100
3102122221210011210210101
41301220331121301130
53444344110323400
6132015532150444
711546524660411
oct1615075316134
9378853153711
10122020011100
114782612a389
121b794308424
13b677849c00
145c97730108
1532924bc56a
hex1c68f59c5c

122020011100 has 108 divisors (see below), whose sum is σ = 287917457520. Its totient is φ = 44865100800.

The previous prime is 122020011067. The next prime is 122020011107. The reversal of 122020011100 is 1110020221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020011107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4057921 + ... + 4087879.

Almost surely, 2122020011100 is an apocalyptic number.

122020011100 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 122020011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143958728760).

122020011100 is an abundant number, since it is smaller than the sum of its proper divisors (165897446420).

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

122020011100 is a wasteful number, since it uses less digits than its factorization.

122020011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30240 (or 30220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122020011100 its reverse (1110020221), we get a palindrome (123130031321).

The spelling of 122020011100 in words is "one hundred twenty-two billion, twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 241 260 325 338 482 650 676 845 964 1205 1300 1690 2410 3133 3380 4225 4820 6025 6266 8450 12050 12532 15665 16900 24100 29959 31330 40729 59918 62660 78325 81458 119836 149795 156650 162916 203645 299590 313300 389467 407290 599180 748975 778934 814580 1018225 1497950 1557868 1947335 2036450 2995900 3894670 4072900 5063071 7220119 7789340 9736675 10126142 14440238 19473350 20252284 25315355 28880476 36100595 38946700 50630710 72201190 93861547 101261420 126576775 144402380 180502975 187723094 253153550 361005950 375446188 469307735 506307100 722011900 938615470 1220200111 1877230940 2346538675 2440400222 4693077350 4880800444 6101000555 9386154700 12202001110 24404002220 30505002775 61010005550 122020011100