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122021200002 = 2313311312271697
BaseRepresentation
bin111000110100100000…
…1111100000010000010
3102122221212102012122210
41301221001330002002
53444344411400002
6132020013442550
711546541041532
oct1615101740202
9378855365583
10122021200002
1147826871649
121b7947a0456
13b677b750c0
145c9795d4c2
15329265496c
hex1c6907c082

122021200002 has 128 divisors (see below), whose sum is σ = 274729771008. Its totient is φ = 35876505600.

The previous prime is 122021199977. The next prime is 122021200009. The reversal of 122021200002 is 200002120221.

It is not an unprimeable number, because it can be changed into a prime (122021200009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71903218 + ... + 71904914.

It is an arithmetic number, because the mean of its divisors is an integer number (2146326336).

Almost surely, 2122021200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137364885504).

122021200002 is an abundant number, since it is smaller than the sum of its proper divisors (152708571006).

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

122021200002 is a wasteful number, since it uses less digits than its factorization.

122021200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122021200002 its reverse (200002120221), we get a palindrome (322023320223).

The spelling of 122021200002 in words is "one hundred twenty-two billion, twenty-one million, two hundred thousand, two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 131 186 227 262 393 403 454 681 786 806 1209 1362 1697 1703 2418 2951 3394 3406 4061 5091 5109 5902 7037 8122 8853 10182 10218 12183 14074 17706 21111 22061 24366 29737 42222 44122 52607 52793 59474 66183 89211 91481 105214 105586 132366 157821 158379 178422 182962 222307 274443 315642 316758 385219 386581 444614 548886 666921 683891 770438 773162 921847 1155657 1159743 1333842 1367782 1843694 2051673 2311314 2319486 2765541 2889991 4103346 5007847 5531082 5779982 6891517 8669973 10015694 11941789 11984011 13783034 15023541 17339946 20674551 23883578 23968022 30047082 35825367 35952033 41349102 50463689 71650734 71904066 89589721 100927378 151391067 155243257 179179442 268769163 302782134 310486514 465729771 537538326 656027957 931459542 1312055914 1564374359 1968083871 3128748718 3936167742 4693123077 9386246154 20336866667 40673733334 61010600001 122021200002