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121221021220 = 22513592151887
BaseRepresentation
bin111000011100101010…
…1011111111000100100
3102120220002201220201121
41300321111133320210
53441230040134340
6131404351103324
711520653452015
oct1607125377044
9376802656647
10121221021220
1147456119472
121b5b0811b44
13b57b15ba30
145c1d58900c
15324729494a
hex1c3955fe24

121221021220 has 144 divisors (see below), whose sum is σ = 281034609408. Its totient is φ = 43659244800.

The previous prime is 121221021199. The next prime is 121221021223. The reversal of 121221021220 is 22120122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121221021194 and 121221021203.

It is not an unprimeable number, because it can be changed into a prime (121221021223) 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, 136663617 + ... + 136664503.

It is an arithmetic number, because the mean of its divisors is an integer number (1951629232).

Almost surely, 2121221021220 is an apocalyptic number.

121221021220 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 121221021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140517304704).

121221021220 is an abundant number, since it is smaller than the sum of its proper divisors (159813588188).

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

121221021220 is a wasteful number, since it uses less digits than its factorization.

121221021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121221021220 its reverse (22120122121), we get a palindrome (143341143341).

The spelling of 121221021220 in words is "one hundred twenty-one billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 151 236 260 295 302 590 604 755 767 887 1180 1510 1534 1774 1963 3020 3068 3481 3548 3835 3926 4435 6962 7670 7852 8870 8909 9815 11531 13924 15340 17405 17740 17818 19630 23062 34810 35636 39260 44545 45253 46124 52333 57655 69620 89090 90506 104666 115310 115817 133937 178180 181012 209332 226265 230620 231634 261665 267874 452530 463268 523330 525631 535748 579085 669685 680329 905060 1046660 1051262 1158170 1339370 1360658 1741181 2102524 2316340 2628155 2678740 2721316 3087647 3401645 3482362 5256310 6175294 6803290 6833203 6964724 7902283 8705905 10512620 12350588 13606580 13666406 15438235 15804566 17411810 27332812 30876470 31609132 34166015 34823620 39511415 40139411 61752940 68332030 79022830 80278822 102729679 136664060 158045660 160557644 200697055 205459358 401394110 410918716 466234697 513648395 802788220 932469394 1027296790 1864938788 2054593580 2331173485 4662346970 6061051061 9324693940 12122102122 24244204244 30305255305 60610510610 121221021220