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120012201021000 = 23353191235788861
BaseRepresentation
bin11011010010011010000100…
…100111000100111001001000
3120201221001110122011010021010
4123102122010213010321020
5111212234441430133000
61103124502151043520
734164411135150021
oct3322320447047110
9521831418133233
10120012201021000
113526a985845942
12115632033705a0
1351c7143115422
14218c89b657c48
15dd1bd5882d50
hex6d26849c4e48

120012201021000 has 256 divisors, whose sum is σ = 376562407403520. Its totient is φ = 31821832320000.

The previous prime is 120012201020981. The next prime is 120012201021007. The reversal of 120012201021000 is 120102210021.

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

It is not an unprimeable number, because it can be changed into a prime (120012201021007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350516570 + ... + 1350605430.

It is an arithmetic number, because the mean of its divisors is an integer number (1470946903920).

Almost surely, 2120012201021000 is an apocalyptic number.

120012201021000 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 120012201021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188281203701760).

120012201021000 is an abundant number, since it is smaller than the sum of its proper divisors (256550206382520).

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

120012201021000 is a wasteful number, since it uses less digits than its factorization.

120012201021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91433 (or 91419 counting only the distinct ones).

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

Adding to 120012201021000 its reverse (120102210021), we get a palindrome (120132303231021).

The spelling of 120012201021000 in words is "one hundred twenty trillion, twelve billion, two hundred one million, twenty-one thousand".