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21121122212040 = 2335199263650093
BaseRepresentation
bin1001100110101101001001…
…11111001001100011001000
32202210011022022200211011010
410303112210333021203020
510232022024241241130
6112530524250003520
74306644045420354
oct463264477114310
982704268624133
1021121122212040
116803465953614
1224514b91165a0
13ba29370c3816
145303a6a8c464
1526961ed750b0
hex1335a4fc98c8

21121122212040 has 64 divisors (see below), whose sum is σ = 66698280676800. Its totient is φ = 5335862452992.

The previous prime is 21121122211979. The next prime is 21121122212041. The reversal of 21121122212040 is 4021222112112.

It is a super-2 number, since 2×211211222120402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121122211998 and 21121122212016.

It is not an unprimeable number, because it can be changed into a prime (21121122212041) 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, 4631822767 + ... + 4631827326.

It is an arithmetic number, because the mean of its divisors is an integer number (1042160635575).

Almost surely, 221121122212040 is an apocalyptic number.

21121122212040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121122212040 is an abundant number, since it is smaller than the sum of its proper divisors (45577158464760).

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

21121122212040 is a wasteful number, since it uses less digits than its factorization.

21121122212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263650126 (or 9263650122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21121122212040 its reverse (4021222112112), we get a palindrome (25142344324152).

The spelling of 21121122212040 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 9263650093 18527300186 27790950279 37054600372 46318250465 55581900558 74109200744 92636500930 111163801116 138954751395 176009351767 185273001860 222327602232 277909502790 352018703534 370546003720 528028055301 555819005580 704037407068 880046758835 1056056110602 1111638011160 1408074814136 1760093517670 2112112221204 2640140276505 3520187035340 4224224442408 5280280553010 7040374070680 10560561106020 21121122212040