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1221021210120 = 2335531571222831
BaseRepresentation
bin10001110001001010100…
…010010001011000001000
311022201200001211020011020
4101301022202101120020
5130001122412210440
62332532430032440
7154134021016635
oct21611242213010
94281601736136
101221021210120
11430917706418
12178785648720
138b1ac71798a
14431522bd18c
1521b654273d0
hex11c4a891608

1221021210120 has 128 divisors (see below), whose sum is σ = 3755952944640. Its totient is φ = 317427102720.

The previous prime is 1221021210107. The next prime is 1221021210127. The reversal of 1221021210120 is 210121201221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1221021210120.

It is not an unprimeable number, because it can be changed into a prime (1221021210127) 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, 387105 + ... + 1609935.

It is an arithmetic number, because the mean of its divisors is an integer number (29343382380).

Almost surely, 21221021210120 is an apocalyptic number.

1221021210120 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 1221021210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877976472320).

1221021210120 is an abundant number, since it is smaller than the sum of its proper divisors (2534931734520).

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

1221021210120 is a wasteful number, since it uses less digits than its factorization.

1221021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223055 (or 1223051 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221021210120 its reverse (210121201221), we get a palindrome (1431142411341).

The spelling of 1221021210120 in words is "one trillion, two hundred twenty-one billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 157 159 212 265 314 318 424 471 530 628 636 785 795 942 1060 1256 1272 1570 1590 1884 2120 2355 3140 3180 3768 4710 6280 6360 8321 9420 16642 18840 24963 33284 41605 49926 66568 83210 99852 124815 166420 199704 249630 332840 499260 998520 1222831 2445662 3668493 4891324 6114155 7336986 9782648 12228310 14673972 18342465 24456620 29347944 36684930 48913240 64810043 73369860 129620086 146739720 191984467 194430129 259240172 324050215 383968934 388860258 518480344 575953401 648100430 767937868 777720516 959922335 972150645 1151906802 1296200860 1535875736 1555441032 1919844670 1944301290 2303813604 2592401720 2879767005 3839689340 3888602580 4607627208 5759534010 7679378680 7777205160 10175176751 11519068020 20350353502 23038136040 30525530253 40700707004 50875883755 61051060506 81401414008 101751767510 122102121012 152627651265 203503535020 244204242024 305255302530 407007070040 610510605060 1221021210120