Search a number
-
+
121020133200 = 24352394325577
BaseRepresentation
bin111000010110101011…
…1001010111101010000
3102120101002201202011120
41300231113022331100
53440322123230300
6131332413242240
711512664105451
oct1605527127520
9376332652146
10121020133200
114736278a30a
121b555493380
13b548653495
145c00a15128
1532348123a0
hex1c2d5caf50

121020133200 has 120 divisors (see below), whose sum is σ = 387781305408. Its totient is φ = 32262589440.

The previous prime is 121020133193. The next prime is 121020133211. The reversal of 121020133200 is 2331020121.

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 121020133200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4718812 + ... + 4744388.

Almost surely, 2121020133200 is an apocalyptic number.

121020133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020133200 is an abundant number, since it is smaller than the sum of its proper divisors (266761172208).

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

121020133200 is a wasteful number, since it uses less digits than its factorization.

121020133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29541 (or 29530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121020133200 its reverse (2331020121), we get a palindrome (123351153321).

The spelling of 121020133200 in words is "one hundred twenty-one billion, twenty million, one hundred thirty-three 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 3943 7886 11829 15772 19715 23658 25577 31544 39430 47316 51154 59145 63088 76731 78860 94632 98575 102308 118290 127885 153462 157720 189264 197150 204616 236580 255770 295725 306924 315440 383655 394300 409232 473160 511540 591450 613848 639425 767310 788600 946320 1023080 1182900 1227696 1278850 1534620 1577200 1918275 2046160 2365800 2557700 3069240 3836550 4731600 5115400 6138480 7673100 10230800 15346200 30692400 100850111 201700222 302550333 403400444 504250555 605100666 806800888 1008501110 1210201332 1512751665 1613601776 2017002220 2420402664 2521252775 3025503330 4034004440 4840805328 5042505550 6051006660 7563758325 8068008880 10085011100 12102013320 15127516650 20170022200 24204026640 30255033300 40340044400 60510066600 121020133200