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121320233000 = 2353537331357
BaseRepresentation
bin111000011111100111…
…1111101100000101000
3102121011000102101200222
41300333033331200220
53441430434424000
6131422253345212
711523266652131
oct1607717754050
9377130371628
10121320233000
11474a712177a
121b619a98208
13b595887825
145c2c812c88
153250d40a85
hex1c3f3fd828

121320233000 has 128 divisors (see below), whose sum is σ = 293217369120. Its totient is φ = 46958745600.

The previous prime is 121320232973. The next prime is 121320233009. The reversal of 121320233000 is 332023121.

It can be written as a sum of positive squares in 16 ways, for example, as 518108644 + 120802124356 = 22762^2 + 347566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121320233000.

It is not an unprimeable number, because it can be changed into a prime (121320233009) 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, 3853322 + ... + 3884678.

Almost surely, 2121320233000 is an apocalyptic number.

121320233000 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 121320233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146608684560).

121320233000 is an abundant number, since it is smaller than the sum of its proper divisors (171897136120).

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

121320233000 is a wasteful number, since it uses less digits than its factorization.

121320233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31504 (or 31490 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 121320233000 its reverse (332023121), we get a palindrome (121652256121).

The spelling of 121320233000 in words is "one hundred twenty-one billion, three hundred twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 73 100 106 125 146 200 212 250 265 292 365 424 500 530 584 730 1000 1060 1325 1460 1825 2120 2650 2920 3650 3869 5300 6625 7300 7738 9125 10600 13250 14600 15476 18250 19345 26500 30952 31357 36500 38690 53000 62714 73000 77380 96725 125428 154760 156785 193450 250856 313570 386900 483625 627140 773800 783925 967250 1254280 1567850 1661921 1934500 2289061 3135700 3323842 3869000 3919625 4578122 6271400 6647684 7839250 8309605 9156244 11445305 13295368 15678500 16619210 18312488 22890610 31357000 33238420 41548025 45781220 57226525 66476840 83096050 91562440 114453050 121320233 166192100 207740125 228906100 242640466 286132625 332384200 415480250 457812200 485280932 572265250 606601165 830960500 970561864 1144530500 1213202330 1661921000 2289061000 2426404660 3033005825 4852809320 6066011650 12132023300 15165029125 24264046600 30330058250 60660116500 121320233000