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420120401112 = 233315122815647
BaseRepresentation
bin1100001110100010010…
…00001001010011011000
31111011101220122122112000
412013101020021103120
523340401310313422
6521000050121000
742231655326366
oct6072110112330
91434356578460
10420120401112
11152199017575
1269509580160
1330803c50629
141649646a636
15addcee8cac
hex61d12094d8

420120401112 has 128 divisors (see below), whose sum is σ = 1175452723200. Its totient is φ = 139027104000.

The previous prime is 420120401081. The next prime is 420120401147. The reversal of 420120401112 is 211104021024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74394273 + ... + 74399919.

It is an arithmetic number, because the mean of its divisors is an integer number (9183224400).

Almost surely, 2420120401112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420120401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587726361600).

420120401112 is an abundant number, since it is smaller than the sum of its proper divisors (755332322088).

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

420120401112 is a wasteful number, since it uses less digits than its factorization.

420120401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420120401112 its reverse (211104021024), we get a palindrome (631224422136).

The spelling of 420120401112 in words is "four hundred twenty billion, one hundred twenty million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2281 2718 3624 4077 4562 5436 5647 6843 8154 9124 10872 11294 13686 16308 16941 18248 20529 22588 27372 32616 33882 41058 45176 50823 54744 61587 67764 82116 101646 123174 135528 152469 164232 203292 246348 304938 344431 406584 492696 609876 688862 852697 1033293 1219752 1377724 1705394 2066586 2558091 2755448 3099879 3410788 4133172 5116182 6199758 6821576 7674273 8266344 9299637 10232364 12399516 12880807 15348546 18599274 20464728 23022819 24799032 25761614 30697092 37198548 38642421 46045638 51523228 61394184 74397096 77284842 92091276 103046456 115927263 154569684 184182552 231854526 309139368 347781789 463709052 695563578 927418104 1391127156 1945001857 2782254312 3890003714 5835005571 7780007428 11670011142 15560014856 17505016713 23340022284 35010033426 46680044568 52515050139 70020066852 105030100278 140040133704 210060200556 420120401112