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122134016 = 291132111
BaseRepresentation
bin1110100011110…
…01111000000000
322111211001101002
413101321320000
5222231242031
620041431132
73012056564
oct721717000
9274731332
10122134016
1162a3a104
1234a9b4a8
131c3c3364
14123136a4
15aac7ccb
hex7479e00

122134016 has 40 divisors (see below), whose sum is σ = 246305664. Its totient is φ = 60497920.

The previous prime is 122134013. The next prime is 122134031. The reversal of 122134016 is 610431221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122134013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56801 + ... + 58911.

Almost surely, 2122134016 is an apocalyptic number.

122134016 is a gapful number since it is divisible by the number (16) 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 122134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152832).

122134016 is an abundant number, since it is smaller than the sum of its proper divisors (124171648).

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

122134016 is an equidigital number, since it uses as much as digits as its factorization.

122134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 122134016 is about 11051.4259713396. The cubic root of 122134016 is about 496.1491053629.

Adding to 122134016 its reverse (610431221), we get a palindrome (732565237).

The spelling of 122134016 in words is "one hundred twenty-two million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 2111 3616 4222 7232 8444 14464 16888 28928 33776 57856 67552 135104 238543 270208 477086 540416 954172 1080832 1908344 3816688 7633376 15266752 30533504 61067008 122134016