Search a number
-
+
1211130121200 = 243523343301907
BaseRepresentation
bin10001100111111100111…
…110110000101111110000
311021210010201222211221120
4101213330332300233300
5124320343302334300
62324215133422240
7153333635112666
oct21477476605760
94253121884846
101211130121200
1142770141996a
1217688503a980
138a29447103c
14428947cac36
1521786dce3a0
hex119fcfb0bf0

1211130121200 has 120 divisors (see below), whose sum is σ = 3880826873088. Its totient is φ = 322870352640.

The previous prime is 1211130121199. The next prime is 1211130121217. The reversal of 1211130121200 is 21210311121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1211130121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3860647 + ... + 4162553.

Almost surely, 21211130121200 is an apocalyptic number.

1211130121200 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 1211130121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940413436544).

1211130121200 is an abundant number, since it is smaller than the sum of its proper divisors (2669696751888).

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

1211130121200 is a wasteful number, since it uses less digits than its factorization.

1211130121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305271 (or 305260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1211130121200 its reverse (21210311121), we get a palindrome (1232340432321).

The spelling of 1211130121200 in words is "one trillion, two hundred eleven billion, one hundred thirty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3343 6686 10029 13372 16715 20058 26744 33430 40116 50145 53488 66860 80232 83575 100290 133720 160464 167150 200580 250725 267440 301907 334300 401160 501450 603814 668600 802320 905721 1002900 1207628 1337200 1509535 1811442 2005800 2415256 3019070 3622884 4011600 4528605 4830512 6038140 7245768 7547675 9057210 12076280 14491536 15095350 18114420 22643025 24152560 30190700 36228840 45286050 60381400 72457680 90572100 120762800 181144200 362288400 1009275101 2018550202 3027825303 4037100404 5046375505 6055650606 8074200808 10092751010 12111301212 15139126515 16148401616 20185502020 24222602424 25231877525 30278253030 40371004040 48445204848 50463755050 60556506060 75695632575 80742008080 100927510100 121113012120 151391265150 201855020200 242226024240 302782530300 403710040400 605565060600 1211130121200