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120425012400 = 2435271110191279
BaseRepresentation
bin111000000100111100…
…0111101110010110000
3102111211121220110220110
41300021320331302300
53433112300344100
6131153353541320
711462146500420
oct1601170756260
9374747813813
10120425012400
1147087864240
121b40a114840
13b4822756b4
145b8597c480
1531ec45a250
hex1c09e3dcb0

120425012400 has 480 divisors, whose sum is σ = 481797734400. Its totient is φ = 24979276800.

The previous prime is 120425012387. The next prime is 120425012401. The reversal of 120425012400 is 4210524021.

It is a super-2 number, since 2×1204250124002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120425012401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94154961 + ... + 94156239.

It is an arithmetic number, because the mean of its divisors is an integer number (1003745280).

Almost surely, 2120425012400 is an apocalyptic number.

120425012400 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 120425012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240898867200).

120425012400 is an abundant number, since it is smaller than the sum of its proper divisors (361372722000).

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

120425012400 is a wasteful number, since it uses less digits than its factorization.

120425012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 120425012400 its reverse (4210524021), we get a palindrome (124635536421).

The spelling of 120425012400 in words is "one hundred twenty billion, four hundred twenty-five million, twelve thousand, four hundred".