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1201211112112 = 241131994122147
BaseRepresentation
bin10001011110101101110…
…000101111101010110000
311020211112110121222110121
4101132231300233222300
5124140040021041422
62315455002540024
7152533062662104
oct21365560575260
94224473558417
101201211112112
114234813a25a0
12174977207614
138937349ccab
14421d330b904
15213a61bd8c7
hex117adc2fab0

1201211112112 has 80 divisors (see below), whose sum is σ = 2621206232064. Its totient is φ = 528314976000.

The previous prime is 1201211112103. The next prime is 1201211112113. The reversal of 1201211112112 is 2112111121021.

It is a super-2 number, since 2×12012111121122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1201211112113) 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, 54227023 + ... + 54249169.

Almost surely, 21201211112112 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 1201211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310603116032).

1201211112112 is an abundant number, since it is smaller than the sum of its proper divisors (1419995119952).

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

1201211112112 is a wasteful number, since it uses less digits than its factorization.

1201211112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32138 (or 32132 counting only the distinct ones).

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

Adding to 1201211112112 its reverse (2112111121021), we get a palindrome (3313322233133).

The spelling of 1201211112112 in words is "one trillion, two hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 9941 19882 22147 39764 44294 79528 88588 109351 159056 177176 218702 243617 308171 354352 437404 487234 616342 686557 874808 974468 1232684 1373114 1749616 1948936 2465368 2746228 3389881 3897872 4930736 5492456 6779762 7552127 10984912 13559524 15104254 27119048 30208508 54238096 60417016 120834032 220163327 440326654 880653308 1761306616 2421796597 3522613232 4843593194 6825063137 9687186388 13650126274 19374372776 27300252548 38748745552 54600505096 75075694507 109201010192 150151389014 300302778028 600605556056 1201211112112