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121200002121000 = 233531137101982801
BaseRepresentation
bin11011100011101100010011…
…000100101011110100101000
3120220010121101112110220101110
4123203230103010223310220
5111341220101020333000
61105434302354550320
734346261016002655
oct3343542304536450
9526117345426343
10121200002121000
11356886a55798a0
12117154575983a0
13528215a2a7bba
1421d017b98ac2c
15e02a5460e850
hex6e3b1312bd28

121200002121000 has 512 divisors, whose sum is σ = 427865130800640. Its totient is φ = 28304640000000.

The previous prime is 121200002120983. The next prime is 121200002121017. The reversal of 121200002121000 is 121200002121.

It is an interprime number because it is at equal distance from previous prime (121200002120983) and next prime (121200002121017).

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, 122829600 + ... + 123812400.

It is an arithmetic number, because the mean of its divisors is an integer number (835674083595).

Almost surely, 2121200002121000 is an apocalyptic number.

121200002121000 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 121200002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213932565400320).

121200002121000 is an abundant number, since it is smaller than the sum of its proper divisors (306665128679640).

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

121200002121000 is a wasteful number, since it uses less digits than its factorization.

121200002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982974 (or 982960 counting only the distinct ones).

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

Adding to 121200002121000 its reverse (121200002121), we get a palindrome (121321202123121).

121200002121000 divided by its reverse (121200002121) gives a cube (1000 = 103).

The spelling of 121200002121000 in words is "one hundred twenty-one trillion, two hundred billion, two million, one hundred twenty-one thousand".