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12132111033020 = 225113153149225263
BaseRepresentation
bin1011000010001011101000…
…1010110010001010111100
31120221211002200021221022102
42300202322022302022330
53042233030411024040
641445225340004232
72361342010165046
oct260427212621274
946854080257272
1012132111033020
113958221438320
12143b34b530678
136a008ca46084
142dd2a95a6a96
151608b627a515
hexb08ba2b22bc

12132111033020 has 192 divisors, whose sum is σ = 29427768115200. Its totient is φ = 4160679244800.

The previous prime is 12132111032999. The next prime is 12132111033047. The reversal of 12132111033020 is 2033011123121.

It is a happy number.

It is a super-2 number, since 2×121321110330202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12132111032983 and 12132111033001.

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, 53744909 + ... + 53970171.

It is an arithmetic number, because the mean of its divisors is an integer number (153269625600).

Almost surely, 212132111033020 is an apocalyptic number.

12132111033020 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 12132111033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713884057600).

12132111033020 is an abundant number, since it is smaller than the sum of its proper divisors (17295657082180).

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

12132111033020 is a wasteful number, since it uses less digits than its factorization.

12132111033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225516 (or 225514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12132111033020 its reverse (2033011123121), we get a palindrome (14165122156141).

The spelling of 12132111033020 in words is "twelve trillion, one hundred thirty-two billion, one hundred eleven million, thirty-three thousand, twenty".