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20012122122112 = 271795393161957
BaseRepresentation
bin1001000110011011011110…
…11011100010011110000000
32121212010210012101010001101
410203031233123202132000
510110334311230401422
6110321235245144144
74133554020245521
oct443155733423600
977763705333041
1020012122122112
11641610324a87a
1222b259725b054
13b2219a836363
144d2840188848
1524a8641cac27
hex12336f6e2780

20012122122112 has 64 divisors (see below), whose sum is σ = 40098306646800. Its totient is φ = 9948254838784.

The previous prime is 20012122122073. The next prime is 20012122122119. The reversal of 20012122122112 is 21122122121002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20012122122112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012122122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123483438 + ... + 123645394.

Almost surely, 220012122122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049153323400).

20012122122112 is an abundant number, since it is smaller than the sum of its proper divisors (20086184524688).

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

20012122122112 is a wasteful number, since it uses less digits than its factorization.

20012122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167543 (or 167531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 20012122122112 its reverse (21122122121002), we get a palindrome (41134244243114).

The spelling of 20012122122112 in words is "twenty trillion, twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2864 5393 5728 10786 11456 21572 22912 43144 86288 161957 172576 323914 345152 647828 690304 965347 1295656 1930694 2591312 3861388 5182624 7722776 10365248 15445552 20730496 28990303 30891104 57980606 61782208 115961212 123564416 231922424 463844848 873434101 927689696 1746868202 1855379392 3493736404 3710758784 6987472808 13974945616 27949891232 55899782464 111799564928 156344704079 312689408158 625378816316 1250757632632 2501515265264 5003030530528 10006061061056 20012122122112