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122131000 = 2353122131
BaseRepresentation
bin1110100011110…
…01001000111000
322111210220020101
413101321020320
5222231143000
620041405144
73012045025
oct721711070
9274726211
10122131000
1162a37912
1234a997b4
131c3c1b84
141231254c
15aac6e6a
hex7479238

122131000 has 32 divisors (see below), whose sum is σ = 285788880. Its totient is φ = 48852000.

The previous prime is 122130997. The next prime is 122131019. The reversal of 122131000 is 131221.

It is a super-2 number, since 2×1221310002 = 29831962322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 7 ways as a sum of consecutive naturals, for example, 60066 + ... + 62065.

Almost surely, 2122131000 is an apocalyptic number.

122131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131000 is an abundant number, since it is smaller than the sum of its proper divisors (163657880).

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

122131000 is a wasteful number, since it uses less digits than its factorization.

122131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122152 (or 122138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 122131000 is about 11051.2895175179. The cubic root of 122131000 is about 496.1450213300.

Adding to 122131000 its reverse (131221), we get a palindrome (122262221).

The spelling of 122131000 in words is "one hundred twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122131 244262 488524 610655 977048 1221310 2442620 3053275 4885240 6106550 12213100 15266375 24426200 30532750 61065500 122131000