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122111020020 = 223511185016697
BaseRepresentation
bin111000110111001100…
…0100100101111110100
3102200012010102112120010
41301232120210233310
54000040410120040
6132032542540220
711552011354503
oct1615630445764
9380163375503
10122111020020
114787253a770
121b7ba897670
13b690663142
145ca586083a
15329a497e80
hex1c6e624bf4

122111020020 has 48 divisors (see below), whose sum is σ = 372993663168. Its totient is φ = 29602671360.

The previous prime is 122111020007. The next prime is 122111020039. The reversal of 122111020020 is 20020111221.

It is a super-2 number, since 2×1221110200202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122111019978 and 122111020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92507689 + ... + 92509008.

It is an arithmetic number, because the mean of its divisors is an integer number (7770701316).

Almost surely, 2122111020020 is an apocalyptic number.

122111020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111020020 is an abundant number, since it is smaller than the sum of its proper divisors (250882643148).

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

122111020020 is a wasteful number, since it uses less digits than its factorization.

122111020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185016720 (or 185016718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122111020020 its reverse (20020111221), we get a palindrome (142131131241).

The spelling of 122111020020 in words is "one hundred twenty-two billion, one hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 185016697 370033394 555050091 740066788 925083485 1110100182 1850166970 2035183667 2220200364 2775250455 3700333940 4070367334 5550500910 6105551001 8140734668 10175918335 11101001820 12211102002 20351836670 24422204004 30527755005 40703673340 61055510010 122111020020