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120201124314112 = 2102313463379087
BaseRepresentation
bin11011010101001010000001…
…010100001111110000000000
3120202121010010000122210110021
4123111022001110033300000
5111223333400311022422
61103351344552543224
734214146625511652
oct3325120124176000
9522533100583407
10120201124314112
1135333013047226
12115939493b1b14
13520bbc066076a
142197aa05bc6d2
15dd6a91664dc7
hex6d528150fc00

120201124314112 has 88 divisors (see below), whose sum is σ = 250751317994496. Its totient is φ = 57483072565248.

The previous prime is 120201124314097. The next prime is 120201124314121. The reversal of 120201124314112 is 211413421102021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316891033 + ... + 317270119.

It is an arithmetic number, because the mean of its divisors is an integer number (2849446795392).

Almost surely, 2120201124314112 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 120201124314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125375658997248).

120201124314112 is an abundant number, since it is smaller than the sum of its proper divisors (130550193680384).

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

120201124314112 is a wasteful number, since it uses less digits than its factorization.

120201124314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392593 (or 392575 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 120201124314112 its reverse (211413421102021), we get a palindrome (331614545416133).

The spelling of 120201124314112 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty-four million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2944 5888 11776 13463 23552 26926 53852 107704 215408 309649 379087 430816 619298 758174 861632 1238596 1516348 1723264 2477192 3032696 3446528 4954384 6065392 6893056 8719001 9908768 12130784 13786112 17438002 19817536 24261568 34876004 39635072 48523136 69752008 79270144 97046272 139504016 158540288 194092544 279008032 317080576 388185088 558016064 1116032128 2232064256 4464128512 5103648281 8928257024 10207296562 20414593124 40829186248 81658372496 117383910463 163316744992 234767820926 326633489984 469535641852 653266979968 939071283704 1306533959936 1878142567408 2613067919872 3756285134816 5226135839744 7512570269632 15025140539264 30050281078528 60100562157056 120201124314112