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120122211132 = 2232711151286981
BaseRepresentation
bin110111111011111010…
…1110111101100111100
3102111001112010120122200
41233313311313230330
53432002241224012
6131103335511500
711451511643040
oct1576765675474
9374045116580
10120122211132
1146a41947160
121b344828590
13b434606851
145b5767a020
1531d0a963dc
hex1bf7d77b3c

120122211132 has 144 divisors (see below), whose sum is σ = 381075362304. Its totient is φ = 30993840000.

The previous prime is 120122211101. The next prime is 120122211151. The reversal of 120122211132 is 231112221021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275082 + ... + 562062.

Almost surely, 2120122211132 is an apocalyptic number.

120122211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190537681152).

120122211132 is an abundant number, since it is smaller than the sum of its proper divisors (260953151172).

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

120122211132 is a wasteful number, since it uses less digits than its factorization.

120122211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287160 (or 287155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120122211132 its reverse (231112221021), we get a palindrome (351234432153).

The spelling of 120122211132 in words is "one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 151 154 198 231 252 302 308 396 453 462 604 693 906 924 1057 1359 1386 1661 1812 2114 2718 2772 3171 3322 4228 4983 5436 6342 6644 9513 9966 11627 12684 14949 19026 19932 23254 29898 34881 38052 46508 59796 69762 104643 139524 209286 286981 418572 573962 860943 1147924 1721886 2008867 2582829 3156791 3443772 4017734 5165658 6026601 6313582 8035468 9470373 10331316 12053202 12627164 18079803 18940746 22097537 24106404 28411119 36159606 37881492 43334131 44195074 56822238 66292611 72319212 86668262 88390148 113644476 130002393 132585222 173336524 198877833 260004786 265170444 303338917 390007179 397755666 476675441 520009572 606677834 780014358 795511332 910016751 953350882 1213355668 1430026323 1560028716 1820033502 1906701764 2730050253 2860052646 3336728087 3640067004 4290078969 5460100506 5720105292 6673456174 8580157938 10010184261 10920201012 13346912348 17160315876 20020368522 30030552783 40040737044 60061105566 120122211132