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122002120 = 23523132611
BaseRepresentation
bin1110100010110…
…01101011001000
322111120100110001
413101121223020
5222213031440
620034532344
73011000212
oct721315310
9274510401
10122002120
1162959aa9
1234a370b4
131c378306
14122bb5b2
15aa9db9a
hex7459ac8

122002120 has 32 divisors (see below), whose sum is σ = 286441920. Its totient is φ = 46678720.

The previous prime is 122002117. The next prime is 122002121. The reversal of 122002120 is 21200221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122002097 and 122002106.

It is not an unprimeable number, because it can be changed into a prime (122002121) 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 7 ways as a sum of consecutive naturals, for example, 65386 + ... + 67225.

It is an arithmetic number, because the mean of its divisors is an integer number (8951310).

Almost surely, 2122002120 is an apocalyptic number.

122002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002120 is an abundant number, since it is smaller than the sum of its proper divisors (164439800).

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

122002120 is a wasteful number, since it uses less digits than its factorization.

122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132645 (or 132641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122002120 is about 11045.4569846612. The cubic root of 122002120 is about 495.9704391852.

Adding to 122002120 its reverse (21200221), we get a palindrome (143202341).

The spelling of 122002120 in words is "one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 132611 265222 530444 663055 1060888 1326110 2652220 3050053 5304440 6100106 12200212 15250265 24400424 30500530 61001060 122002120