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121002210021000 = 233537111997262303
BaseRepresentation
bin11011100000110100000101…
…101111101100111010001000
3120212102200212001202011022010
4123200310011233230322020
5111330000011231133000
61105203351535455520
734326056364620130
oct3340640557547210
9525380761664263
10121002210021000
1135611827043640
12116a30573875a0
1352695c8525139
1421c4776c01ac0
15dec829e17d50
hex6e0d05bece88

121002210021000 has 512 divisors, whose sum is σ = 470920372715520. Its totient is φ = 25130630016000.

The previous prime is 121002210020983. The next prime is 121002210021023. The reversal of 121002210021000 is 120012200121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 461175849 + ... + 461438151.

It is an arithmetic number, because the mean of its divisors is an integer number (919766352960).

Almost surely, 2121002210021000 is an apocalyptic number.

121002210021000 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 121002210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235460186357760).

121002210021000 is an abundant number, since it is smaller than the sum of its proper divisors (349918162694520).

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

121002210021000 is a wasteful number, since it uses less digits than its factorization.

121002210021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264342 (or 264328 counting only the distinct ones).

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

Adding to 121002210021000 its reverse (120012200121), we get a palindrome (121122222221121).

The spelling of 121002210021000 in words is "one hundred twenty-one trillion, two billion, two hundred ten million, twenty-one thousand".