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20122000111220 = 22577311291743919
BaseRepresentation
bin1001001001101000001001…
…01010110011011001110100
32122020122101210012021221112
410210310010222303121310
510114134324012024340
6110443530315534152
74144523630611220
oct444640452633164
978218353167845
1020122000111220
116458768535337
12230b94115a358
13b2c65b983c67
144d7ca508b780
1524d645722065
hex124d04ab3674

20122000111220 has 96 divisors (see below), whose sum is σ = 48997734374400. Its totient is φ = 6798434125824.

The previous prime is 20122000111181. The next prime is 20122000111231. The reversal of 20122000111220 is 2211100022102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20122000111195 and 20122000111204.

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, 10666421 + ... + 12410339.

It is an arithmetic number, because the mean of its divisors is an integer number (510393066400).

Almost surely, 220122000111220 is an apocalyptic number.

20122000111220 is a gapful number since it is divisible by the number (20) 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 20122000111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498867187200).

20122000111220 is an abundant number, since it is smaller than the sum of its proper divisors (28875734263180).

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

20122000111220 is a wasteful number, since it uses less digits than its factorization.

20122000111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745137 (or 1745135 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20122000111220 its reverse (2211100022102), we get a palindrome (22333100133322).

The spelling of 20122000111220 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1129 1460 2044 2258 2555 4516 5110 5645 7903 10220 11290 15806 22580 31612 39515 79030 82417 158060 164834 329668 412085 576919 824170 1153838 1648340 1743919 2307676 2884595 3487838 5769190 6975676 8719595 11538380 12207433 17439190 24414866 34878380 48829732 61037165 122074330 127306087 244148660 254612174 509224348 636530435 891142609 1273060870 1782285218 1968884551 2546121740 3564570436 3937769102 4455713045 7875538204 8911426090 9844422755 13782191857 17822852180 19688845510 27564383714 39377691020 55128767428 68910959285 137821918570 143728572223 275643837140 287457144446 574914288892 718642861115 1006100005561 1437285722230 2012200011122 2874571444460 4024400022244 5030500027805 10061000055610 20122000111220