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12161554140 = 2235613499521
BaseRepresentation
bin10110101001110001…
…01001011011011100
31011101120002221222010
423110320221123130
5144401324213030
65330440151220
7610242335031
oct132470513334
934346087863
1012161554140
11518097569a
122434a68510
1311ba77a7a8
14835273388
154b2a336b0
hex2d4e296dc

12161554140 has 96 divisors (see below), whose sum is σ = 34713403200. Its totient is φ = 3180441600.

The previous prime is 12161554099. The next prime is 12161554147. The reversal of 12161554140 is 4145516121.

It is a super-2 number, since 2×121615541402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12161554098 and 12161554107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161554147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272580 + ... + 1282100.

It is an arithmetic number, because the mean of its divisors is an integer number (361597950).

Almost surely, 212161554140 is an apocalyptic number.

12161554140 is a gapful number since it is divisible by the number (10) 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 12161554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356701600).

12161554140 is an abundant number, since it is smaller than the sum of its proper divisors (22551849060).

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

12161554140 is a wasteful number, since it uses less digits than its factorization.

12161554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 12161554140 in words is "twelve billion, one hundred sixty-one million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 349 366 610 698 732 915 1047 1220 1396 1745 1830 2094 3490 3660 4188 5235 6980 9521 10470 19042 20940 21289 28563 38084 42578 47605 57126 63867 85156 95210 106445 114252 127734 142815 190420 212890 255468 285630 319335 425780 571260 580781 638670 1161562 1277340 1742343 2323124 2903905 3322829 3484686 5807810 6645658 6969372 8711715 9968487 11615620 13291316 16614145 17423430 19936974 33228290 34846860 39873948 49842435 66456580 99684870 199369740 202692569 405385138 608077707 810770276 1013462845 1216155414 2026925690 2432310828 3040388535 4053851380 6080777070 12161554140