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990120120120112 = 243185322971018817
BaseRepresentation
bin1110000100100000100100111…
…0000010110111001100110000
311210211201120002120010101100011
43201020021032002313030300
52014234112001222320422
613425450523121304304
7415360550405652052
oct34110111602671460
94724646076111304
10990120120120112
1126753464847a763
129306bab4a95094
1333661c07c52cc7
14136700d8a3b8d2
15797046ab8a077
hex384824e0b7330

990120120120112 has 80 divisors (see below), whose sum is σ = 1983426797060352. Its totient is φ = 478319930081280.

The previous prime is 990120120120059. The next prime is 990120120120191. The reversal of 990120120120112 is 211021021021099.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971323728 + ... + 972342544.

Almost surely, 2990120120120112 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 990120120120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991713398530176).

990120120120112 is an abundant number, since it is smaller than the sum of its proper divisors (993306676940240).

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

990120120120112 is a wasteful number, since it uses less digits than its factorization.

990120120120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022006 (or 1022000 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 990120120120112 in words is "nine hundred ninety trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 853 1706 2297 3412 4594 6824 9188 13648 18376 26443 36752 52886 71207 105772 142414 211544 284828 423088 569656 1018817 1139312 1959341 2037634 3918682 4075268 7837364 8150536 15674728 16301072 31349456 31583327 60739571 63166654 121479142 126333308 242958284 252666616 485916568 505333232 869050901 971833136 1738101802 2340222649 3476203604 4680445298 6952407208 9360890596 13904814416 18721781192 26940577931 37443562384 53881155862 72546902119 107762311724 145093804238 215524623448 290187608476 431049246896 580375216952 1160750433904 1996209919597 3992419839194 7984839678388 15969679356776 31939358713552 61882507507507 123765015015014 247530030030028 495060060060056 990120120120112