Search a number
-
+
12031208971104 = 253431290777479
BaseRepresentation
bin1010111100010011101111…
…1011111101101101100000
31120121011122122021002202010
42233010323323331231200
53034104403444033404
641331021110352520
72351140400622321
oct257047373755540
946534578232663
1012031208971104
1139194528a1804
12142388b65b740
136936cc39a5ab
142d8456810448
1515ce5cc58189
hexaf13befdb60

12031208971104 has 48 divisors (see below), whose sum is σ = 31655199582720. Its totient is φ = 4001098097280.

The previous prime is 12031208971091. The next prime is 12031208971109. The reversal of 12031208971104 is 40117980213021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031208971109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145347364 + ... + 145430115.

It is an arithmetic number, because the mean of its divisors is an integer number (659483324640).

Almost surely, 212031208971104 is an apocalyptic number.

It is an amenable number.

12031208971104 is an abundant number, since it is smaller than the sum of its proper divisors (19623990611616).

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

12031208971104 is a wasteful number, since it uses less digits than its factorization.

12031208971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290777923 (or 290777915 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 12031208971104 in words is "twelve trillion, thirty-one billion, two hundred eight million, nine hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 41376 290777479 581554958 872332437 1163109916 1744664874 2326219832 3489329748 4652439664 6978659496 9304879328 13957318992 27914637984 125325093449 250650186898 375975280347 501300373796 751950560694 1002600747592 1503901121388 2005201495184 3007802242776 4010402990368 6015604485552 12031208971104