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121200000 = 27355101
BaseRepresentation
bin1110011100101…
…01110110000000
322110001121010220
413032111312000
5222011400000
620005423040
73001116525
oct716256600
9273047126
10121200000
1162461399
123470aa80
131c15719c
141214d14c
15a9911a0
hex7395d80

121200000 has 192 divisors, whose sum is σ = 406380240. Its totient is φ = 32000000.

The previous prime is 121199989. The next prime is 121200011. The reversal of 121200000 is 2121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121199989) and next prime (121200011).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199950 + ... + 1200050.

Almost surely, 2121200000 is an apocalyptic number.

121200000 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 121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203190120).

121200000 is an abundant number, since it is smaller than the sum of its proper divisors (285180240).

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

121200000 is an frugal number, since it uses more digits than its factorization.

121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 121200000 is about 11009.0871556183. The cubic root of 121200000 is about 494.8811060233.

Adding to 121200000 its reverse (2121), we get a palindrome (121202121).

The spelling of 121200000 in words is "one hundred twenty-one million, two hundred thousand".