Search a number
-
+
125214421422000 = 2435347252118133
BaseRepresentation
bin11100011110000111000001…
…000111000000111110110000
3121102100101022022121222201210
4130132013001013000332300
5112403003113341001000
61122150413332400120
735242305043024401
oct3436070107007660
9542311268558653
10125214421422000
1136996157617749
1212063488476040
1354b3891520cb1
1422cc5a5d4d9a8
15e721ab425350
hex71e1c11c0fb0

125214421422000 has 480 divisors, whose sum is σ = 413277685838784. Its totient is φ = 32615551488000.

The previous prime is 125214421421959. The next prime is 125214421422029. The reversal of 125214421422000 is 224124412521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6905324934 + ... + 6905343066.

Almost surely, 2125214421422000 is an apocalyptic number.

125214421422000 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 125214421422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206638842919392).

125214421422000 is an abundant number, since it is smaller than the sum of its proper divisors (288063264416784).

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

125214421422000 is a wasteful number, since it uses less digits than its factorization.

125214421422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18774 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 125214421422000 its reverse (224124412521), we get a palindrome (125438545834521).

The spelling of 125214421422000 in words is "one hundred twenty-five trillion, two hundred fourteen billion, four hundred twenty-one million, four hundred twenty-two thousand".