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120221200020 = 223519398926437
BaseRepresentation
bin110111111110110111…
…1011110111010010100
3102111022102101201212210
41233331233132322110
53432203111400040
6131121233313420
711454123224265
oct1577557367224
9374272351783
10120221200020
1146a92807a59
121b371a05870
13b44bc8505c
145b6688696c
1531d95eb480
hex1bfdbdee94

120221200020 has 96 divisors (see below), whose sum is σ = 354438403200. Its totient is φ = 30362909184.

The previous prime is 120221200007. The next prime is 120221200093. The reversal of 120221200020 is 20002122021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120221199969 and 120221200005.

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, 4534242 + ... + 4560678.

It is an arithmetic number, because the mean of its divisors is an integer number (3692066700).

Almost surely, 2120221200020 is an apocalyptic number.

120221200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221200020 is an abundant number, since it is smaller than the sum of its proper divisors (234217203180).

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

120221200020 is a wasteful number, since it uses less digits than its factorization.

120221200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30457 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120221200020 its reverse (20002122021), we get a palindrome (140223322041).

The spelling of 120221200020 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3989 7978 11967 15956 19945 23934 26437 39890 47868 52874 59835 75791 79311 79780 105748 119670 132185 151582 158622 227373 239340 264370 303164 317244 378955 396555 454746 502303 528740 757910 793110 909492 1004606 1136865 1506909 1515820 1586220 2009212 2273730 2511515 3013818 4547460 5023030 6027636 7534545 10046060 15069090 30138180 105457193 210914386 316371579 421828772 527285965 632743158 1054571930 1265486316 1581857895 2003686667 2109143860 3163715790 4007373334 6011060001 6327431580 8014746668 10018433335 12022120002 20036866670 24044240004 30055300005 40073733340 60110600010 120221200020