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121816668150 = 23352217941411
BaseRepresentation
bin111000101110011010…
…1101101011111110110
3102122102121112220201000
41301130311231133312
53443440031340100
6131543425544130
711541505411002
oct1613465553766
9378377486630
10121816668150
1147731373861
121b7381a5046
13b644692138
145c7871b702
15327e702900
hex1c5cd6d7f6

121816668150 has 96 divisors (see below), whose sum is σ = 335834755200. Its totient is φ = 32468752800.

The previous prime is 121816668143. The next prime is 121816668151. The reversal of 121816668150 is 51866618121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121816668096 and 121816668105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121816668151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920945 + ... + 2962355.

It is an arithmetic number, because the mean of its divisors is an integer number (3498278700).

Almost surely, 2121816668150 is an apocalyptic number.

121816668150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121816668150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167917377600).

121816668150 is an abundant number, since it is smaller than the sum of its proper divisors (214018087050).

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

121816668150 is a wasteful number, since it uses less digits than its factorization.

121816668150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43611 (or 43600 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 121816668150 in words is "one hundred twenty-one billion, eight hundred sixteen million, six hundred sixty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 2179 4358 6537 10895 13074 19611 21790 32685 39222 41411 54475 58833 65370 82822 98055 108950 117666 124233 163425 196110 207055 248466 294165 326850 372699 414110 490275 588330 621165 745398 980550 1035275 1118097 1242330 1470825 1863495 2070550 2236194 2941650 3105825 3726990 5590485 6211650 9317475 11180970 18634950 27952425 55904850 90234569 180469138 270703707 451172845 541407414 812111121 902345690 1353518535 1624222242 2255864225 2436333363 2707037070 4060555605 4511728450 4872666726 6767592675 8121111210 12181666815 13535185350 20302778025 24363333630 40605556050 60908334075 121816668150