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2121024201212 = 2272731371082047
BaseRepresentation
bin11110110111010110111…
…001001110000111111100
321111202201211020021101202
4132313112321032013330
5234222324143414322
64302215101355032
7306144646145600
oct36672671160774
97452654207352
102121024201212
11748580959494
122a309a868a78
1312501c9b0357
147492dc43500
153a28cd45292
hex1edd6e4e1fc

2121024201212 has 72 divisors (see below), whose sum is σ = 4408899796224. Its totient is φ = 890013132288.

The previous prime is 2121024201187. The next prime is 2121024201227.

It is a happy number.

2121024201212 is nontrivially palindromic in base 10.

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, 1419173 + ... + 2501219.

It is an arithmetic number, because the mean of its divisors is an integer number (61234719392).

Almost surely, 22121024201212 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 2121024201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204449898112).

2121024201212 is an abundant number, since it is smaller than the sum of its proper divisors (2287875595012).

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

2121024201212 is a wasteful number, since it uses less digits than its factorization.

2121024201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082275 (or 1082266 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 2121024201212 in words is "two trillion, one hundred twenty-one billion, twenty-four million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 73 98 137 146 196 274 292 511 548 959 1022 1918 2044 3577 3836 6713 7154 10001 13426 14308 20002 26852 40004 70007 140014 280028 490049 980098 1082047 1960196 2164094 4328188 7574329 15148658 30297316 53020303 78989431 106040606 148240439 157978862 212081212 296480878 315957724 552926017 592961756 1037683073 1105852034 2075366146 2211704068 3870482119 4150732292 7263781511 7740964238 10821552047 14527563022 15481928476 21643104094 29055126044 43286208188 75750864329 151501728658 303003457316 530256050303 1060512100606 2121024201212