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2121231120 = 2435232511531
BaseRepresentation
bin111111001101111…
…0110101100010000
312110211110201001120
41332123312230100
513321013343440
6550253202240
7103365111201
oct17633665420
95424421046
102121231120
1199941a378
124b2490380
1327a612758
14161a155a8
15c635cdd0
hex7e6f6b10

2121231120 has 160 divisors (see below), whose sum is σ = 6893558784. Its totient is φ = 538560000.

The previous prime is 2121231059. The next prime is 2121231121. The reversal of 2121231120 is 211321212.

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 2121231120.

It is not an unprimeable number, because it can be changed into a prime (2121231121) 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, 1384755 + ... + 1386285.

Almost surely, 22121231120 is an apocalyptic number.

2121231120 is a gapful number since it is divisible by the number (20) 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 2121231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446779392).

2121231120 is an abundant number, since it is smaller than the sum of its proper divisors (4772327664).

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

2121231120 is a wasteful number, since it uses less digits than its factorization.

2121231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2121231120 is about 46056.8249014193. The cubic root of 2121231120 is about 1284.8802787319.

Adding to 2121231120 its reverse (211321212), we get a palindrome (2332552332).

The spelling of 2121231120 in words is "two billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 251 276 345 368 460 502 552 690 753 920 1004 1104 1255 1380 1506 1531 1840 2008 2510 2760 3012 3062 3765 4016 4593 5020 5520 5773 6024 6124 7530 7655 9186 10040 11546 12048 12248 15060 15310 17319 18372 20080 22965 23092 24496 28865 30120 30620 34638 35213 36744 45930 46184 57730 60240 61240 69276 70426 73488 86595 91860 92368 105639 115460 122480 138552 140852 173190 176065 183720 211278 230920 277104 281704 346380 352130 367440 384281 422556 461840 528195 563408 692760 704260 768562 845112 1056390 1152843 1385520 1408520 1537124 1690224 1921405 2112780 2305686 2817040 3074248 3842810 4225560 4611372 5764215 6148496 7685620 8451120 8838463 9222744 11528430 15371240 17676926 18445488 23056860 26515389 30742480 35353852 44192315 46113720 53030778 70707704 88384630 92227440 106061556 132576945 141415408 176769260 212123112 265153890 353538520 424246224 530307780 707077040 1060615560 2121231120