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2120121200 = 245267239331
BaseRepresentation
bin111111001011110…
…0111101101110000
312110202101022112102
41332113213231300
513320222334300
6550213315532
7103352506241
oct17627475560
95422338472
102120121200
1199883148a
124b2035ba8
1327a3144b2
14161806cc8
15c61de0d5
hex7e5e7b70

2120121200 has 120 divisors (see below), whose sum is σ = 5206928640. Its totient is φ = 829382400.

The previous prime is 2120121197. The next prime is 2120121233. The reversal of 2120121200 is 21210212.

Adding to 2120121200 its reverse (21210212), we get a palindrome (2141331412).

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6405035 + ... + 6405365.

It is an arithmetic number, because the mean of its divisors is an integer number (43391072).

Almost surely, 22120121200 is an apocalyptic number.

2120121200 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 2120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603464320).

2120121200 is an abundant number, since it is smaller than the sum of its proper divisors (3086807440).

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

2120121200 is a wasteful number, since it uses less digits than its factorization.

2120121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2120121200 is about 46044.7738619705. The cubic root of 2120121200 is about 1284.6561379625.

The spelling of 2120121200 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 239 268 331 335 400 478 536 662 670 956 1072 1195 1324 1340 1655 1675 1912 2390 2648 2680 3310 3350 3824 4780 5296 5360 5975 6620 6700 8275 9560 11950 13240 13400 16013 16550 19120 22177 23900 26480 26800 32026 33100 44354 47800 64052 66200 79109 80065 88708 95600 110885 128104 132400 158218 160130 177416 221770 256208 316436 320260 354832 395545 400325 443540 554425 632872 640520 791090 800650 887080 1108850 1265744 1281040 1582180 1601300 1774160 1977725 2217700 3164360 3202600 3955450 4435400 5300303 6328720 6405200 7910900 8870800 10600606 15821800 21201212 26501515 31643600 42402424 53003030 84804848 106006060 132507575 212012120 265015150 424024240 530030300 1060060600 2120121200