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121923000 = 233253192331
BaseRepresentation
bin1110100010001…
…10010110111000
322111102022220200
413101012112320
5222203014000
620033122200
73010220433
oct721062670
9274368820
10121923000
1162905611
12349b9360
131c34b2b4
141229a81a
15aa85500
hex74465b8

121923000 has 384 divisors, whose sum is σ = 467251200. Its totient is φ = 28512000.

The previous prime is 121922993. The next prime is 121923007. The reversal of 121923000 is 329121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121922993) and next prime (121923007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121923007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3932985 + ... + 3933015.

It is an arithmetic number, because the mean of its divisors is an integer number (1216800).

Almost surely, 2121923000 is an apocalyptic number.

121923000 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 121923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233625600).

121923000 is an abundant number, since it is smaller than the sum of its proper divisors (345328200).

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

121923000 is a wasteful number, since it uses less digits than its factorization.

121923000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 121923000 is about 11041.8748408049. The cubic root of 121923000 is about 495.8632015213.

The spelling of 121923000 in words is "one hundred twenty-one million, nine hundred twenty-three thousand".