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2120210021200 = 245223383601717
BaseRepresentation
bin11110110110100110010…
…111010111101101010000
321111200122002012122101111
4132312212113113231100
5234214142231134300
64302002214543104
7306115531553125
oct36664627275520
97450562178344
102120210021200
117481a3312a47
122a2ab2067a94
13124c2010412b
1474893a6674c
153a24161b9ba
hex1eda65d7b50

2120210021200 has 120 divisors (see below), whose sum is σ = 5329161197568. Its totient is φ = 809091402240.

The previous prime is 2120210021141. The next prime is 2120210021203. The reversal of 2120210021200 is 21200120212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120210021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222742 + ... + 3824458.

Almost surely, 22120210021200 is an apocalyptic number.

2120210021200 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 2120210021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664580598784).

2120210021200 is an abundant number, since it is smaller than the sum of its proper divisors (3208951176368).

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

2120210021200 is a wasteful number, since it uses less digits than its factorization.

2120210021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602141 (or 602130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120210021200 its reverse (21200120212), we get a palindrome (2141410141412).

The spelling of 2120210021200 in words is "two trillion, one hundred twenty billion, two hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 383 400 460 575 766 920 1150 1532 1840 1915 2300 3064 3830 4600 6128 7660 8809 9200 9575 15320 17618 19150 30640 35236 38300 44045 70472 76600 88090 140944 153200 176180 220225 352360 440450 601717 704720 880900 1203434 1761800 2406868 3008585 3523600 4813736 6017170 9627472 12034340 13839491 15042925 24068680 27678982 30085850 48137360 55357964 60171700 69197455 110715928 120343400 138394910 221431856 230457611 240686800 276789820 345987275 460915222 553579640 691974550 921830444 1107159280 1152288055 1383949100 1843660888 2304576110 2767898200 3687321776 4609152220 5300525053 5535796400 5761440275 9218304440 10601050106 11522880550 18436608880 21202100212 23045761100 26502625265 42404200424 46091522200 53005250530 84808400848 92183044400 106010501060 132513126325 212021002120 265026252650 424042004240 530052505300 1060105010600 2120210021200