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2121221220 = 223597364471
BaseRepresentation
bin111111001101111…
…0100010001100100
312110211110012110220
41332123310101210
513321013034340
6550253044340
7103365040266
oct17633642144
95424405426
102121221220
11999412998
124b24866b0
1327a60b0b1
14161a11b36
15c6359ed0
hex7e6f4464

2121221220 has 48 divisors (see below), whose sum is σ = 6000667008. Its totient is φ = 559825920.

The previous prime is 2121221209. The next prime is 2121221227. The reversal of 2121221220 is 221221212.

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 2121221220.

It is not an unprimeable number, because it can be changed into a prime (2121221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176416 + ... + 188055.

It is an arithmetic number, because the mean of its divisors is an integer number (125013896).

Almost surely, 22121221220 is an apocalyptic number.

2121221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121221220 is an abundant number, since it is smaller than the sum of its proper divisors (3879445788).

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

2121221220 is a wasteful number, since it uses less digits than its factorization.

2121221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364580 (or 364578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2121221220 is about 46056.7174253659. The cubic root of 2121221220 is about 1284.8782798401.

Adding to 2121221220 its reverse (221221212), we get a palindrome (2342442432).

The spelling of 2121221220 in words is "two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 364471 728942 1093413 1457884 1822355 2186826 3644710 4373652 5467065 7289420 10934130 21868260 35353687 70707374 106061061 141414748 176768435 212122122 353536870 424244244 530305305 707073740 1060610610 2121221220