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122000000 = 275661
BaseRepresentation
bin1110100010110…
…01001010000000
322111120020112112
413101121022000
5222213000000
620034514452
73010661063
oct721311200
9274506475
10122000000
1162958451
1234a35a28
131c377365
14122ba8da
15aa9d235
hex7459280

122000000 has 112 divisors (see below), whose sum is σ = 308785110. Its totient is φ = 48000000.

The previous prime is 121999991. The next prime is 122000003. The reversal of 122000000 is 221.

It can be written as a sum of positive squares in 7 ways, for example, as 98883136 + 23116864 = 9944^2 + 4808^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (122000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999970 + ... + 2000030.

Almost surely, 2122000000 is an apocalyptic number.

122000000 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 122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154392555).

122000000 is an abundant number, since it is smaller than the sum of its proper divisors (186785110).

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

122000000 is an frugal number, since it uses more digits than its factorization.

122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 122000000 is about 11045.3610171873. The cubic root of 122000000 is about 495.9675663842.

Adding to 122000000 its reverse (221), we get a palindrome (122000221).

The spelling of 122000000 in words is "one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 305 320 400 488 500 610 625 640 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3125 3200 3904 4000 4880 5000 6100 6250 7625 7808 8000 9760 10000 12200 12500 15250 15625 16000 19520 20000 24400 25000 30500 31250 38125 39040 40000 48800 50000 61000 62500 76250 80000 97600 100000 122000 125000 152500 190625 195200 200000 244000 250000 305000 381250 400000 488000 500000 610000 762500 953125 976000 1000000 1220000 1525000 1906250 2000000 2440000 3050000 3812500 4880000 6100000 7625000 12200000 15250000 24400000 30500000 61000000 122000000