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120221102202120 = 23325491680137487
BaseRepresentation
bin11011010101011100101000…
…000101110101110100001000
3120202200000200022120122202100
4123111130220011311310020
5111224200304130431440
61103404451212233400
734215454661662263
oct3325345005656410
9522600608518670
10120221102202120
1135340535043177
12115977a3a6b860
135210a5559587a
142198a37989cda
15dd73604b4230
hex6d5728175d08

120221102202120 has 96 divisors (see below), whose sum is σ = 391514343592320. Its totient is φ = 31993667341440.

The previous prime is 120221102202109. The next prime is 120221102202137. The reversal of 120221102202120 is 21202201122021.

It is a happy number.

120221102202120 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 10 + 220 + 212 + 0 = 666.

It is a super-2 number, since 2×1202211022021202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120221102202093 and 120221102202102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339891984 + ... + 340245503.

It is an arithmetic number, because the mean of its divisors is an integer number (4078274412420).

Almost surely, 2120221102202120 is an apocalyptic number.

120221102202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221102202120 is an abundant number, since it is smaller than the sum of its proper divisors (271293241390200).

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

120221102202120 is a wasteful number, since it uses less digits than its factorization.

120221102202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680137995 (or 680137988 counting only the distinct ones).

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

Adding to 120221102202120 its reverse (21202201122021), we get a palindrome (141423303324141).

The spelling of 120221102202120 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 491 982 1473 1964 2455 2946 3928 4419 4910 5892 7365 8838 9820 11784 14730 17676 19640 22095 29460 35352 44190 58920 88380 176760 680137487 1360274974 2040412461 2720549948 3400687435 4080824922 5441099896 6121237383 6801374870 8161649844 10202062305 12242474766 13602749740 16323299688 20404124610 24484949532 27205499480 30606186915 40808249220 48969899064 61212373830 81616498440 122424747660 244849495320 333947506117 667895012234 1001842518351 1335790024468 1669737530585 2003685036702 2671580048936 3005527555053 3339475061170 4007370073404 5009212591755 6011055110106 6678950122340 8014740146808 10018425183510 12022110220212 13357900244680 15027637775265 20036850367020 24044220440424 30055275550530 40073700734040 60110551101060 120221102202120