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12020103021000 = 23353101259315299
BaseRepresentation
bin1010111011101010010111…
…1110001000000111001000
31120120002222122110101021210
42232322211332020013020
53033414132333133000
641321543055333120
72350265233613124
oct256724576100710
946502878411253
1012020103021000
113914773879048
1214216b02211a0
1369264c528099
142d7ac1840584
1515ca0cc3b350
hexaeea5f881c8

12020103021000 has 256 divisors, whose sum is σ = 37891118304000. Its totient is φ = 3172193280000.

The previous prime is 12020103020999. The next prime is 12020103021053. The reversal of 12020103021000 is 12030102021.

12020103021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 785671351 + ... + 785686649.

It is an arithmetic number, because the mean of its divisors is an integer number (148012180875).

Almost surely, 212020103021000 is an apocalyptic number.

12020103021000 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 12020103021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945559152000).

12020103021000 is an abundant number, since it is smaller than the sum of its proper divisors (25871015283000).

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

12020103021000 is a wasteful number, since it uses less digits than its factorization.

12020103021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18017 (or 18003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12020103021000 its reverse (12030102021), we get a palindrome (12032133123021).

The spelling of 12020103021000 in words is "twelve trillion, twenty billion, one hundred three million, twenty-one thousand".