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132302130121200 = 243521364491315073
BaseRepresentation
bin11110000101001111111101…
…011110000000100111110000
3122100102221220220222112102210
4132011033331132000213300
5114320114230302334300
61145214432020012120
736603341055651114
oct3605177536004760
9570387826875383
10132302130121200
1139179022386956
1212a09057831040
1358a90640511b0
142495658a3b744
151046736c4c050
hex7853fd7809f0

132302130121200 has 240 divisors, whose sum is σ = 456479544376800. Its totient is φ = 32561603543040.

The previous prime is 132302130121181. The next prime is 132302130121237. The reversal of 132302130121200 is 2121031203231.

It is a tau number, because it is divible by the number of its divisors (240).

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, 99946864 + ... + 101261936.

It is an arithmetic number, because the mean of its divisors is an integer number (1901998101570).

Almost surely, 2132302130121200 is an apocalyptic number.

132302130121200 is a gapful number since it is divisible by the number (10) 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 132302130121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228239772188400).

132302130121200 is an abundant number, since it is smaller than the sum of its proper divisors (324177414255600).

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

132302130121200 is a wasteful number, since it uses less digits than its factorization.

132302130121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321556 (or 1321545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132302130121200 its reverse (2121031203231), we get a palindrome (134423161324431).

The spelling of 132302130121200 in words is "one hundred thirty-two trillion, three hundred two billion, one hundred thirty million, one hundred twenty-one thousand, two hundred".