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20200122102112 = 257925153935903
BaseRepresentation
bin1001001011111001101010…
…00110100011000101100000
32122112010001020111121202121
410211330311012203011200
510121424322224231422
6110543450305154024
74153260566563501
oct445746506430540
978463036447677
1020200122102112
116488907346377
122322b0402b914
13b36b2b9b4884
144db996644ba8
152506b8dc88c7
hex125f351a3160

20200122102112 has 96 divisors (see below), whose sum is σ = 40447191214080. Its totient is φ = 9928958208000.

The previous prime is 20200122102019. The next prime is 20200122102113. The reversal of 20200122102112 is 21120122100202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200122102113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3422006553 + ... + 3422012455.

It is an arithmetic number, because the mean of its divisors is an integer number (421324908480).

Almost surely, 220200122102112 is an apocalyptic number.

It is an amenable number.

20200122102112 is an abundant number, since it is smaller than the sum of its proper divisors (20247069111968).

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

20200122102112 is a wasteful number, since it uses less digits than its factorization.

20200122102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11636 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20200122102112 its reverse (21120122100202), we get a palindrome (41320244202314).

The spelling of 20200122102112 in words is "twenty trillion, two hundred billion, one hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 79 158 251 316 502 632 1004 1264 2008 2528 4016 5393 5903 8032 10786 11806 19829 21572 23612 39658 43144 47224 79316 86288 94448 158632 172576 188896 317264 426047 466337 634528 852094 932674 1353643 1481653 1704188 1865348 2707286 2963306 3408376 3730696 5414572 5926612 6816752 7461392 10829144 11853224 13633504 14922784 21658288 23706448 31834879 43316576 47412896 63669758 106937797 117050587 127339516 213875594 234101174 254679032 427751188 468202348 509358064 855502376 936404696 1018716128 1711004752 1872809392 2514955441 3422009504 3745618784 5029910882 7990554629 10059821764 15981109258 20119643528 31962218516 40239287056 63924437032 80478574112 127848874064 255697748128 631253815691 1262507631382 2525015262764 5050030525528 10100061051056 20200122102112