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120152121606 = 23411193795911
BaseRepresentation
bin110111111100110011…
…1111110000100000110
3102111010121102012010000
41233321213332010012
53432032420342411
6131110324542130
711452324116426
oct1577147760406
9374117365100
10120152121606
1146a57816360
121b352851946
13b43a879b5a
145b5b624486
1531d3503956
hex1bf99fe106

120152121606 has 160 divisors (see below), whose sum is σ = 317522430720. Its totient is φ = 33560827200.

The previous prime is 120152121589. The next prime is 120152121653. The reversal of 120152121606 is 606121251021.

120152121606 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 52 + 1 + 2 + 1 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120152121606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1204791 + ... + 1300701.

It is an arithmetic number, because the mean of its divisors is an integer number (1984515192).

Almost surely, 2120152121606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120152121606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158761215360).

120152121606 is an abundant number, since it is smaller than the sum of its proper divisors (197370309114).

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

120152121606 is a wasteful number, since it uses less digits than its factorization.

120152121606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95992 (or 95983 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 120152121606 its reverse (606121251021), we get a palindrome (726273372627).

The spelling of 120152121606 in words is "one hundred twenty billion, one hundred fifty-two million, one hundred twenty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 37 38 54 57 66 74 81 99 111 114 162 171 198 209 222 297 333 342 407 418 513 594 627 666 703 814 891 999 1026 1221 1254 1406 1539 1782 1881 1998 2109 2442 2997 3078 3663 3762 4218 5643 5994 6327 7326 7733 10989 11286 12654 15466 16929 18981 21978 23199 32967 33858 37962 46398 56943 65934 69597 95911 113886 139194 191822 208791 287733 417582 575466 626373 863199 1055021 1252746 1726398 1822309 2110042 2589597 3165063 3548707 3644618 5179194 5466927 6330126 7097414 7768791 9495189 10646121 10933854 15537582 16400781 18990378 20045399 21292242 28485567 31938363 32801562 39035777 40090798 49202343 56971134 60136197 63876726 67425433 78071554 85456701 95815089 98404686 117107331 120272394 134850866 147607029 170913402 180408591 191630178 202276299 234214662 287445267 295214058 351321993 360817182 404552598 541225773 574890534 606828897 702643986 741679763 1053965979 1082451546 1213657794 1483359526 1623677319 1820486691 2107931958 2225039289 3161897937 3247354638 3640973382 4450078578 5461460073 6323795874 6675117867 10922920146 13350235734 20025353601 40050707202 60076060803 120152121606