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126020422080 = 263657229337
BaseRepresentation
bin111010101011101100…
…1110000100111000000
3110001021120122202000000
41311113121300213000
54031042212001310
6133520515000000
712050621625240
oct1652731604700
9401246582000
10126020422080
1149499274363
122050bb99000
13bb645836b7
146156b4db20
1534287c44c0
hex1d576709c0

126020422080 has 784 divisors, whose sum is σ = 517976022720. Its totient is φ = 28593782784.

The previous prime is 126020422069. The next prime is 126020422081. The reversal of 126020422080 is 80224020621.

It is a happy number.

126020422080 is a `hidden beast` number, since 12 + 602 + 0 + 42 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×1260204220802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126020422081) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 373947672 + ... + 373948008.

Almost surely, 2126020422080 is an apocalyptic number.

126020422080 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 126020422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258988011360).

126020422080 is an abundant number, since it is smaller than the sum of its proper divisors (391955600640).

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

126020422080 is an equidigital number, since it uses as much as digits as its factorization.

126020422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 126020422080 in words is "one hundred twenty-six billion, twenty million, four hundred twenty-two thousand, eighty".