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122140200 = 233527132237
BaseRepresentation
bin1110100011110…
…11011000101000
322111211100212010
413101323120220
5222231441300
620041515520
73012113610
oct721733050
9274740763
10122140200
1162a43816
1234aa2ba0
131c3c6110
1412315a40
15aac9a50
hex747b628

122140200 has 192 divisors, whose sum is σ = 466220160. Its totient is φ = 25758720.

The previous prime is 122140171. The next prime is 122140211. The reversal of 122140200 is 2041221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53482 + ... + 55718.

It is an arithmetic number, because the mean of its divisors is an integer number (2428230).

Almost surely, 2122140200 is an apocalyptic number.

122140200 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 122140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233110080).

122140200 is an abundant number, since it is smaller than the sum of its proper divisors (344079960).

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

122140200 is a wasteful number, since it uses less digits than its factorization.

122140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122140200 is about 11051.7057506975. The cubic root of 122140200 is about 496.1574790450.

Adding to 122140200 its reverse (2041221), we get a palindrome (124181421).

The spelling of 122140200 in words is "one hundred twenty-two million, one hundred forty thousand, two hundred".