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120197000 = 23537211223
BaseRepresentation
bin1110010101000…
…00111110001000
322101011122021202
413022200332020
5221232301000
615532123332
72656441400
oct712407610
9271148252
10120197000
1161936870
1234306548
131bb957b1
1411d6b800
15a843dd5
hex72a0f88

120197000 has 192 divisors, whose sum is σ = 358525440. Its totient is φ = 37296000.

The previous prime is 120196963. The next prime is 120197003. The reversal of 120197000 is 791021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120197003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538889 + ... + 539111.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2120197000 is an apocalyptic number.

120197000 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 120197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

120197000 is an abundant number, since it is smaller than the sum of its proper divisors (238328440).

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

120197000 is a wasteful number, since it uses less digits than its factorization.

120197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 120197000 is about 10963.4392414060. The cubic root of 120197000 is about 493.5121805085.

The spelling of 120197000 in words is "one hundred twenty million, one hundred ninety-seven thousand".