Search a number
-
+
121001021111120 = 24531349139801531
BaseRepresentation
bin11011100000110010111110…
…111000010111101101010000
3120212102120210012121021112212
4123200302332320113231100
5111324440042401023440
61105203033545211252
734326015050221433
oct3340627670275520
9525376705537485
10121001021111120
1135611276a21a97
12116a2985190b28
135269469114777
1421c46a2d5b81a
15dec7aa86d465
hex6e0cbee17b50

121001021111120 has 80 divisors (see below), whose sum is σ = 291234551462400. Its totient is φ = 46704895142400.

The previous prime is 121001021111029. The next prime is 121001021111129. The reversal of 121001021111120 is 21111120100121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 121001021111095 and 121001021111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001021111129) 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, 69035246 + ... + 70766285.

It is an arithmetic number, because the mean of its divisors is an integer number (3640431893280).

Almost surely, 2121001021111120 is an apocalyptic number.

121001021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001021111120 is an abundant number, since it is smaller than the sum of its proper divisors (170233530351280).

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

121001021111120 is a wasteful number, since it uses less digits than its factorization.

121001021111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139801924 (or 139801918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121001021111120 its reverse (21111120100121), we get a palindrome (142112141211241).

The spelling of 121001021111120 in words is "one hundred twenty-one trillion, one billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 349 496 620 698 1240 1396 1745 2480 2792 3490 5584 6980 10819 13960 21638 27920 43276 54095 86552 108190 173104 216380 432760 865520 139801531 279603062 559206124 699007655 1118412248 1398015310 2236824496 2796030620 4333847461 5592061240 8667694922 11184122480 17335389844 21669237305 34670779688 43338474610 48790734319 69341559376 86676949220 97581468638 173353898440 195162937276 243953671595 346707796880 390325874552 487907343190 780651749104 975814686380 1512512763889 1951629372760 3025025527778 3903258745520 6050051055556 7562563819445 12100102111112 15125127638890 24200204222224 30250255277780 60500510555560 121001021111120