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122032201212020 = 225111813467883933
BaseRepresentation
bin11011101111110011010110…
…000000010010000001110100
3121000002011102220212221111202
4123233303112000102001310
5111443333422002241040
61111312452545352032
734463351464365641
oct3357632600220164
9530064386787452
10122032201212020
1135979625236210
121182a7a9338618
1353127830c0348
14221c56643cdc8
15e1950e618015
hex6efcd6012074

122032201212020 has 96 divisors (see below), whose sum is σ = 281190634897536. Its totient is φ = 44117399692800.

The previous prime is 122032201211993. The next prime is 122032201212073. The reversal of 122032201212020 is 20212102230221.

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 = 122032201211983 and 122032201212001.

It is a congruent number.

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, 137613974 + ... + 138497906.

It is an arithmetic number, because the mean of its divisors is an integer number (2929069113516).

Almost surely, 2122032201212020 is an apocalyptic number.

122032201212020 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 122032201212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140595317448768).

122032201212020 is an abundant number, since it is smaller than the sum of its proper divisors (159158433685516).

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

122032201212020 is a wasteful number, since it uses less digits than its factorization.

122032201212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887601 (or 887599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122032201212020 its reverse (20212102230221), we get a palindrome (142244303442241).

The spelling of 122032201212020 in words is "one hundred twenty-two trillion, thirty-two billion, two hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3467 3620 3982 6934 7964 9955 13868 17335 19910 34670 38137 39820 69340 76274 152548 190685 381370 627527 762740 883933 1255054 1767866 2510108 3137635 3535732 4419665 6275270 6902797 8839330 9723263 12550540 13805594 17678660 19446526 27611188 34513985 38893052 48616315 69027970 97232630 138055940 159991873 194465260 319983746 639967492 799959365 1599918730 1759910603 3064595711 3199837460 3519821206 6129191422 7039642412 8799553015 12258382844 15322978555 17599106030 30645957110 33710552821 35198212060 61291914220 67421105642 134842211284 168552764105 337105528210 554691823691 674211056420 1109383647382 2218767294764 2773459118455 5546918236910 6101610060601 11093836473820 12203220121202 24406440242404 30508050303005 61016100606010 122032201212020