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120141021000 = 233537112133637
BaseRepresentation
bin110111111100011110…
…1100111111101001000
3102111002211112012221110
41233320331213331020
53432022100133000
6131105251010320
711452130554230
oct1577075477510
9374084465843
10120141021000
1146a51524300
121b34ab999a0
13b438491350
145b59d74cc0
1531d255e850
hex1bf8f67f48

120141021000 has 768 divisors, whose sum is σ = 507233825280. Its totient is φ = 23037696000.

The previous prime is 120141020947. The next prime is 120141021031. The reversal of 120141021000 is 120141021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33031182 + ... + 33034818.

It is an arithmetic number, because the mean of its divisors is an integer number (660460710).

Almost surely, 2120141021000 is an apocalyptic number.

120141021000 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 120141021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253616912640).

120141021000 is an abundant number, since it is smaller than the sum of its proper divisors (387092804280).

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

120141021000 is a wasteful number, since it uses less digits than its factorization.

120141021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120141021000 its reverse (120141021), we get a palindrome (120261162021).

120141021000 divided by its reverse (120141021) gives a cube (1000 = 103).

The spelling of 120141021000 in words is "one hundred twenty billion, one hundred forty-one million, twenty-one thousand".