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12002013331020 = 2233579929302843
BaseRepresentation
bin1010111010100110111110…
…1111011011111001001100
31120111101021221111220202000
42232221233233123321030
53033120110403043040
641305352050432300
72346055036026156
oct256515757337114
946441257456660
1012002013331020
1139080306a7239
12141a0a1b92690
13690a28853a0b
142d6c87147ad6
1515c2eea68130
hexaea6fbdbe4c

12002013331020 has 192 divisors, whose sum is σ = 37853077248000. Its totient is φ = 3156611807232.

The previous prime is 12002013331003. The next prime is 12002013331037. The reversal of 12002013331020 is 2013331020021.

12002013331020 is a `hidden beast` number, since 1 + 200 + 2 + 0 + 133 + 310 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12002013331003) and next prime (12002013331037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002013330984 and 12002013331002.

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, 39479719 + ... + 39782561.

It is an arithmetic number, because the mean of its divisors is an integer number (197151444000).

Almost surely, 212002013331020 is an apocalyptic number.

12002013331020 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 12002013331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926538624000).

12002013331020 is an abundant number, since it is smaller than the sum of its proper divisors (25851063916980).

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

12002013331020 is a wasteful number, since it uses less digits than its factorization.

12002013331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303869 (or 303861 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002013331020 its reverse (2013331020021), we get a palindrome (14015344351041).

The spelling of 12002013331020 in words is "twelve trillion, two billion, thirteen million, three hundred thirty-one thousand, twenty".