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120412022120 = 235136731111113
BaseRepresentation
bin111000000100100011…
…1011010010101101000
3102111210201110111120222
41300021013122111220
53433100434201440
6131152211305212
711461631205035
oct1601107322550
9374721414528
10120412022120
11470804a1475
121b4058ab208
13b47c677a40
145b83d5a38c
1531eb2412b5
hex1c091da568

120412022120 has 128 divisors (see below), whose sum is σ = 297101226240. Its totient is φ = 43651491840.

The previous prime is 120412022113. The next prime is 120412022123. The reversal of 120412022120 is 21220214021.

It is not an unprimeable number, because it can be changed into a prime (120412022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10829684 + ... + 10840796.

It is an arithmetic number, because the mean of its divisors is an integer number (2321103330).

Almost surely, 2120412022120 is an apocalyptic number.

120412022120 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 120412022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148550613120).

120412022120 is an abundant number, since it is smaller than the sum of its proper divisors (176689204120).

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

120412022120 is a wasteful number, since it uses less digits than its factorization.

120412022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120412022120 its reverse (21220214021), we get a palindrome (141632236141).

The spelling of 120412022120 in words is "one hundred twenty billion, four hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 311 335 520 536 622 670 871 1244 1340 1555 1742 2488 2680 3110 3484 4043 4355 6220 6968 8086 8710 11113 12440 16172 17420 20215 20837 22226 32344 34840 40430 41674 44452 55565 80860 83348 88904 104185 111130 144469 161720 166696 208370 222260 270881 288938 416740 444520 541762 577876 722345 744571 833480 1083524 1155752 1354405 1444690 1489142 2167048 2708810 2889380 2978284 3456143 3722855 5417620 5778760 5956568 6912286 7445710 9679423 10835240 13824572 14891420 17280715 19358846 27649144 29782840 34561430 38717692 44929859 48397115 69122860 77435384 89859718 96794230 138245720 179719436 193588460 224649295 231561581 359438872 387176920 449298590 463123162 898597180 926246324 1157807905 1797194360 1852492648 2315615810 3010300553 4631231620 6020601106 9262463240 12041202212 15051502765 24082404424 30103005530 60206011060 120412022120