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120002232042 = 23271117103197251
BaseRepresentation
bin110111111000010110…
…0001011111011101010
3102110202011101000021200
41233300230023323222
53431231032411132
6131043412145030
711445524066550
oct1576054137352
9373664330250
10120002232042
114699014a090
121b310608176
13b4157b92c4
145b45767bd0
1531c5296d7c
hex1bf0b0beea

120002232042 has 384 divisors, whose sum is σ = 349709488128. Its totient is φ = 28788480000.

The previous prime is 120002231989. The next prime is 120002232047. The reversal of 120002232042 is 240232200021.

It is a super-2 number, since 2×1200022320422 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120002232047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 478096417 + ... + 478096667.

It is an arithmetic number, because the mean of its divisors is an integer number (910701792).

Almost surely, 2120002232042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002232042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174854744064).

120002232042 is an abundant number, since it is smaller than the sum of its proper divisors (229707256086).

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

120002232042 is a wasteful number, since it uses less digits than its factorization.

120002232042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120002232042 its reverse (240232200021), we get a palindrome (360234432063).

The spelling of 120002232042 in words is "one hundred twenty billion, two million, two hundred thirty-two thousand, forty-two".