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120132121322332 = 227157117772320421
BaseRepresentation
bin11011010100001001110000…
…011010101110001101011100
3120202100112000002100121202001
4123110021300122232031130
5111221221041024303312
61103255533515212044
734206154645662550
oct3324116032561534
9522315002317661
10120132121322332
1135306823715199
12115824b0447024
135205544946602
1421945d6175860
15dd4da3844057
hex6d42706ae35c

120132121322332 has 48 divisors (see below), whose sum is σ = 241815223435968. Its totient is φ = 51152897802240.

The previous prime is 120132121322293. The next prime is 120132121322333. The reversal of 120132121322332 is 233223121231021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 120132121322332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132121322333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50611482 + ... + 52931902.

It is an arithmetic number, because the mean of its divisors is an integer number (5037817154916).

Almost surely, 2120132121322332 is an apocalyptic number.

It is an amenable number.

120132121322332 is an abundant number, since it is smaller than the sum of its proper divisors (121683102113636).

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

120132121322332 is a wasteful number, since it uses less digits than its factorization.

120132121322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332366 (or 2332364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 120132121322332 its reverse (233223121231021), we get a palindrome (353355242553353).

The spelling of 120132121322332 in words is "one hundred twenty trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 157 314 628 1099 2198 4396 11777 23554 47108 82439 164878 329756 1848989 2320421 3697978 4640842 7395956 9281684 12942923 16242947 25885846 32485894 51771692 64971788 364306097 728612194 1457224388 2550142679 5100285358 10200570716 27327598117 54655196234 109310392468 191293186819 382586373638 765172747276 4290432904369 8580865808738 17161731617476 30033030330583 60066060661166 120132121322332