Search a number
-
+
121112020112010 = 235231071640417447
BaseRepresentation
bin11011100010011010010110…
…111011111101001010001010
3120212211012021220210202111220
4123202122112323331022022
5111333244404122041020
61105330032143102510
734340024522162064
oct3342322673751212
9525735256722456
10121112020112010
1135654356a73274
12117003a25a1a36
135276a7858bb55
1421c9bd2aac734
15e006054eb240
hex6e2696efd28a

121112020112010 has 64 divisors (see below), whose sum is σ = 306141265815552. Its totient is φ = 30603627872576.

The previous prime is 121112020112003. The next prime is 121112020112047. The reversal of 121112020112010 is 10211020211121.

It is a happy number.

It is a super-2 number, since 2×1211120201120102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 820134894 + ... + 820282553.

It is an arithmetic number, because the mean of its divisors is an integer number (4783457278368).

Almost surely, 2121112020112010 is an apocalyptic number.

121112020112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121112020112010 is an abundant number, since it is smaller than the sum of its proper divisors (185029245703542).

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

121112020112010 is a wasteful number, since it uses less digits than its factorization.

121112020112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640417587.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121112020112010 its reverse (10211020211121), we get a palindrome (131323040323131).

The spelling of 121112020112010 in words is "one hundred twenty-one trillion, one hundred twelve billion, twenty million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 535 642 690 1070 1605 2461 3210 4922 7383 12305 14766 24610 36915 73830 1640417447 3280834894 4921252341 8202087235 9842504682 16404174470 24606261705 37729601281 49212523410 75459202562 113188803843 175524666829 188648006405 226377607686 351049333658 377296012810 526574000487 565944019215 877623334145 1053148000974 1131888038430 1755246668290 2632870002435 4037067337067 5265740004870 8074134674134 12111202011201 20185336685335 24222404022402 40370673370670 60556010056005 121112020112010