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2120102121222 = 23459617335933
BaseRepresentation
bin11110110110011111111…
…011110000111100000110
321111200100120011202110000
4132312133323300330012
5234213432120334342
64301543402142130
7306113051456001
oct36663773607406
97450316152400
102120102121222
11748148416108
122a2a81ab1946
13124c039558a7
14748835ba538
153a236e0644c
hex1ed9fef0f06

2120102121222 has 80 divisors (see below), whose sum is σ = 4832034918480. Its totient is φ = 694590856128.

The previous prime is 2120102121197. The next prime is 2120102121223. The reversal of 2120102121222 is 2221212010212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120102121195 and 2120102121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120102121223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58983568 + ... + 59019500.

It is an arithmetic number, because the mean of its divisors is an integer number (60400436481).

Almost surely, 22120102121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120102121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416017459240).

2120102121222 is an abundant number, since it is smaller than the sum of its proper divisors (2711932797258).

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

2120102121222 is a wasteful number, since it uses less digits than its factorization.

2120102121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42179 (or 42170 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120102121222 its reverse (2221212010212), we get a palindrome (4341314131434).

The spelling of 2120102121222 in words is "two trillion, one hundred twenty billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4779 6173 9558 12346 18519 35933 37038 55557 71866 107799 111114 166671 215598 323397 333342 364207 500013 646794 728414 970191 1000026 1092621 1940382 2120047 2185242 2910573 3277863 4240094 5821146 6360141 6555726 9833589 12720282 19080423 19667178 29500767 38160846 57241269 59001534 114482538 171723807 221814409 343447614 443628818 665443227 1330886454 1996329681 3992659362 5988989043 11977978086 13087050131 17966967129 26174100262 35933934258 39261150393 78522300786 117783451179 235566902358 353350353537 706700707074 1060051060611 2120102121222