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12020137603320 = 23357211618934231
BaseRepresentation
bin1010111011101010100000…
…0010000011000011111000
31120120010002001112100022110
42232322220002003003320
53033414220211301240
641321550332452320
72350266133555200
oct256725002030370
946503061470273
1012020137603320
113914791349280
1214216bb91a0a0
136926567459b2
142d7ac6283400
1515ca10cbcc80
hexaeea80830f8

12020137603320 has 768 divisors, whose sum is σ = 47035425254400. Its totient is φ = 2429070336000.

The previous prime is 12020137603291. The next prime is 12020137603339. The reversal of 12020137603320 is 2330673102021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351130605 + ... + 351164835.

It is an arithmetic number, because the mean of its divisors is an integer number (61244043300).

Almost surely, 212020137603320 is an apocalyptic number.

12020137603320 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 12020137603320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517712627200).

12020137603320 is an abundant number, since it is smaller than the sum of its proper divisors (35015287651080).

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

12020137603320 is a wasteful number, since it uses less digits than its factorization.

12020137603320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34420 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 12020137603320 in words is "twelve trillion, twenty billion, one hundred thirty-seven million, six hundred three thousand, three hundred twenty".