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42120015252000 = 25353721719221773
BaseRepresentation
bin10011001001110110101001…
…00011000000101000100000
312112010122010021122100120220
421210323110203000220200
521010043242401031000
6225325400132403040
711605033146256500
oct1144732443005040
9175118107570526
1042120015252000
1112469aa85a8034
124883183a76480
131a66b9222643a
14a58896321a00
154d09891b41a0
hex264ed48c0a20

42120015252000 has 1152 divisors, whose sum is σ = 178901147093760. Its totient is φ = 8584173158400.

The previous prime is 42120015251999. The next prime is 42120015252001. The reversal of 42120015252000 is 25251002124.

It is an interprime number because it is at equal distance from previous prime (42120015251999) and next prime (42120015252001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42120015252001) 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 191 ways as a sum of consecutive naturals, for example, 189813114 + ... + 190034886.

It is an arithmetic number, because the mean of its divisors is an integer number (155296134630).

Almost surely, 242120015252000 is an apocalyptic number.

42120015252000 is a gapful number since it is divisible by the number (40) 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 42120015252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89450573546880).

42120015252000 is an abundant number, since it is smaller than the sum of its proper divisors (136781131841760).

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

42120015252000 is a wasteful number, since it uses less digits than its factorization.

42120015252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221851 (or 221826 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 42120015252000 its reverse (25251002124), we get a palindrome (42145266254124).

The spelling of 42120015252000 in words is "forty-two trillion, one hundred twenty billion, fifteen million, two hundred fifty-two thousand".