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125214012 = 22357211239
BaseRepresentation
bin1110111011010…
…01110100111100
322201121112100000
413131221310330
5224023322022
620231434300
73050205300
oct735516474
9281545300
10125214012
1164753160
1235b25990
131cc31241
14128b5d00
15aed56ac
hex7769d3c

125214012 has 216 divisors, whose sum is σ = 418279680. Its totient is φ = 32387040.

The previous prime is 125213987. The next prime is 125214013. The reversal of 125214012 is 210412521.

It is a super-2 number, since 2×1252140122 = 31357097602272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125214013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523789 + ... + 524027.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2125214012 is an apocalyptic number.

125214012 is a gapful number since it is divisible by the number (12) 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 125214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

125214012 is an abundant number, since it is smaller than the sum of its proper divisors (293065668).

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

125214012 is a wasteful number, since it uses less digits than its factorization.

125214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125214012 is about 11189.9067020239. The cubic root of 125214012 is about 500.2851866396.

Adding to 125214012 its reverse (210412521), we get a palindrome (335626533).

The spelling of 125214012 in words is "one hundred twenty-five million, two hundred fourteen thousand, twelve".