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120001200132 = 2231123229172603
BaseRepresentation
bin110111111000010100…
…0010000000000000100
3102110202002102120202210
41233300220100000010
53431230301401012
6131043334103420
711445512241222
oct1576050200004
9373662376683
10120001200132
114698a604870
121b3101aab70
13b4155176c8
145b45579b12
1531c514123c
hex1bf0a10004

120001200132 has 96 divisors (see below), whose sum is σ = 320132090880. Its totient is φ = 34630865280.

The previous prime is 120001200119. The next prime is 120001200157. The reversal of 120001200132 is 231002100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608943 + ... + 781545.

It is an arithmetic number, because the mean of its divisors is an integer number (3334709280).

Almost surely, 2120001200132 is an apocalyptic number.

120001200132 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 120001200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160066045440).

120001200132 is an abundant number, since it is smaller than the sum of its proper divisors (200130890748).

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

120001200132 is a wasteful number, since it uses less digits than its factorization.

120001200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172873 (or 172871 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120001200132 its reverse (231002100021), we get a palindrome (351003300153).

The spelling of 120001200132 in words is "one hundred twenty billion, one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 229 253 276 458 506 687 759 916 1012 1374 1518 2519 2748 3036 5038 5267 7557 10076 10534 15114 15801 21068 30228 31602 57937 63204 115874 172603 173811 231748 345206 347622 517809 690412 695244 1035618 1898633 2071236 3797266 3969869 5695899 7594532 7939738 11391798 11909607 15879476 22783596 23819214 39526087 43668559 47638428 79052174 87337118 118578261 131005677 158104348 174674236 237156522 262011354 434786957 474313044 524022708 869573914 909100001 1304360871 1739147828 1818200002 2608721742 2727300003 3636400004 5217443484 5454600006 10000100011 10909200012 20000200022 30000300033 40000400044 60000600066 120001200132