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1201020122112 = 21033791031549
BaseRepresentation
bin10001011110100010011…
…000001011010000000000
311020211001011020200102220
4101132202120023100000
5124134142122401422
62315424021211040
7152525253411666
oct21364230132000
94224034220386
101201020122112
11423393603a18
12174923260a80
1389342a4ba65
14421b5bd2c36
1521394543e5c
hex117a260b400

1201020122112 has 88 divisors (see below), whose sum is σ = 3209605932000. Its totient is φ = 399283347456.

The previous prime is 1201020122089. The next prime is 1201020122119. The reversal of 1201020122112 is 2112210201021.

It is a junction number, because it is equal to n+sod(n) for n = 1201020122091 and 1201020122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201020122119) 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, 648514 + ... + 1680062.

Almost surely, 21201020122112 is an apocalyptic number.

1201020122112 is a gapful number since it is divisible by the number (12) 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 1201020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604802966000).

1201020122112 is an abundant number, since it is smaller than the sum of its proper divisors (2008585809888).

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

1201020122112 is a wasteful number, since it uses less digits than its factorization.

1201020122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031951 (or 1031933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201020122112 its reverse (2112210201021), we get a palindrome (3313230323133).

The spelling of 1201020122112 in words is "one trillion, two hundred one billion, twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 512 758 768 1024 1137 1516 1536 2274 3032 3072 4548 6064 9096 12128 18192 24256 36384 48512 72768 97024 145536 194048 291072 388096 582144 1031549 1164288 2063098 3094647 4126196 6189294 8252392 12378588 16504784 24757176 33009568 49514352 66019136 99028704 132038272 198057408 264076544 390957071 396114816 528153088 781914142 792229632 1056306176 1172871213 1563828284 1584459264 2345742426 3127656568 3168918528 4691484852 6255313136 9382969704 12510626272 18765939408 25021252544 37531878816 50042505088 75063757632 100085010176 150127515264 200170020352 300255030528 400340040704 600510061056 1201020122112