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1000210121220 = 2235293182322531
BaseRepresentation
bin11101000111000010010…
…10110100001000000100
310112121201100210200121110
432203201022310020010
5112341412242334340
62043253514045020
7132156065516232
oct16434112641004
93477640720543
101000210121220
113562065a10a2
12141a20419770
137341c98791b
14365a6301952
151b03ee1e680
hexe8e12b4204

1000210121220 has 192 divisors, whose sum is σ = 2994383831040. Its totient is φ = 248904230400.

The previous prime is 1000210121147. The next prime is 1000210121231. The reversal of 1000210121220 is 221210120001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000210121196 and 1000210121205.

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, 44381355 + ... + 44403885.

It is an arithmetic number, because the mean of its divisors is an integer number (15595749120).

Almost surely, 21000210121220 is an apocalyptic number.

1000210121220 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 1000210121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497191915520).

1000210121220 is an abundant number, since it is smaller than the sum of its proper divisors (1994173709820).

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

1000210121220 is a wasteful number, since it uses less digits than its factorization.

1000210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23426 (or 23424 counting only the distinct ones).

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

Adding to 1000210121220 its reverse (221210120001), we get a palindrome (1221420241221).

The spelling of 1000210121220 in words is "one trillion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".