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2120222200212 = 2233101229848791
BaseRepresentation
bin11110110110100111000…
…101110101000110010100
321111200122221010101212000
4132312213011311012110
5234214203340401322
64302003331555300
7306116040226344
oct36664705650624
97450587111760
102120222200212
117481aa181246
122a2ab615bb30
13124c227a974c
1474895516d24
153a2427253ac
hex1eda7175194

2120222200212 has 96 divisors (see below), whose sum is σ = 5575544889600. Its totient is φ = 696686832000.

The previous prime is 2120222200211. The next prime is 2120222200301. The reversal of 2120222200212 is 2120022220212.

2120222200212 is a `hidden beast` number, since 212 + 0 + 22 + 220 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120222200211) 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, 2073537 + ... + 2922327.

It is an arithmetic number, because the mean of its divisors is an integer number (58078592600).

Almost surely, 22120222200212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120222200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787772444800).

2120222200212 is an abundant number, since it is smaller than the sum of its proper divisors (3455322689388).

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

2120222200212 is a wasteful number, since it uses less digits than its factorization.

2120222200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849134 (or 849126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120222200212 its reverse (2120022220212), we get a palindrome (4240244420424).

The spelling of 2120222200212 in words is "two trillion, one hundred twenty billion, two hundred twenty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 229 303 404 458 606 687 909 916 1212 1374 1818 2061 2727 2748 3636 4122 5454 6183 8244 10908 12366 23129 24732 46258 69387 92516 138774 208161 277548 416322 624483 832644 848791 1248966 1697582 2497932 2546373 3395164 5092746 7639119 10185492 15278238 22917357 30556476 45834714 85727891 91669428 171455782 194373139 257183673 342911564 388746278 514367346 583119417 771551019 777492556 1028734692 1166238834 1543102038 1749358251 2314653057 2332477668 3086204076 3498716502 4629306114 5248074753 6997433004 9258612228 10496149506 19631687039 20992299012 39263374078 58895061117 78526748156 117790122234 176685183351 235580244468 353370366702 530055550053 706740733404 1060111100106 2120222200212