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20032132120 = 23571113677739
BaseRepresentation
bin10010101010000000…
…100001010000011000
31220201001222202020021
4102222000201100120
5312011211211440
613111434040224
71306262212360
oct225200412030
956631882207
1020032132120
11854a6863a0
123a70879074
131b73248220
14d8068b9a0
157c39b684a
hex4aa021418

20032132120 has 256 divisors, whose sum is σ = 60688051200. Its totient is φ = 5747189760.

The previous prime is 20032132097. The next prime is 20032132157. The reversal of 20032132120 is 2123123002.

It is a junction number, because it is equal to n+sod(n) for n = 20032132094 and 20032132103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27106711 + ... + 27107449.

It is an arithmetic number, because the mean of its divisors is an integer number (237062700).

Almost surely, 220032132120 is an apocalyptic number.

20032132120 is a gapful number since it is divisible by the number (20) 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 20032132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30344025600).

20032132120 is an abundant number, since it is smaller than the sum of its proper divisors (40655919080).

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

20032132120 is a wasteful number, since it uses less digits than its factorization.

20032132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20032132120 its reverse (2123123002), we get a palindrome (22155255122).

The spelling of 20032132120 in words is "twenty billion, thirty-two million, one hundred thirty-two thousand, one hundred twenty".