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122002000 = 245361001
BaseRepresentation
bin1110100010110…
…01101001010000
322111120100021121
413101121221100
5222213031000
620034532024
73010666651
oct721315120
9274510247
10122002000
11629599aa
1234a37014
131c378243
14122bb528
15aa9db1a
hex7459a50

122002000 has 40 divisors (see below), whose sum is σ = 295005672. Its totient is φ = 48800000.

The previous prime is 122001967. The next prime is 122002009. The reversal of 122002000 is 200221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 119858704 = 1464^2 + 10948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28501 + ... + 32500.

Almost surely, 2122002000 is an apocalyptic number.

122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002000 is an abundant number, since it is smaller than the sum of its proper divisors (173003672).

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

122002000 is an equidigital number, since it uses as much as digits as its factorization.

122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61024 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 122002000 is about 11045.4515525623. The cubic root of 122002000 is about 495.9702765747.

Adding to 122002000 its reverse (200221), we get a palindrome (122202221).

The spelling of 122002000 in words is "one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 61001 122002 244004 305005 488008 610010 976016 1220020 1525025 2440040 3050050 4880080 6100100 7625125 12200200 15250250 24400400 30500500 61001000 122002000